Math Word Problems for Students — page 20
8,263 math word problems with answers, students. Grade-school word problems with step-by-step solutions. Reveal the answers below, pick one at random, or present them full-screen.
- 951.
It is the rainy season in central Texas. It rained for 7 hours on Monday at a rate of 1 inch per hour. On Tuesday, it rained for 4 hours at a rate of 2 inches per hour, and on Wednesday, it rained for 2 hours at a rate of twice that of the previous day. What is the total combined rainfall, in inches, for these three days?
Answer: 23On Monday, 7 hours of rain at a rate of 1 inch per hour is 7*1=7 inches of rain. On Tuesday, 4 hours of rain at a rate of 2 inches per hour is 4*2=8 inches of rain. Twice the rate of Tuesday is 2*2=4 inches per hour. Wednesday, 2 hours of rain at a rate of 4 inches per hour is 2*4=8 inches of rain. The combined total of the rainfall for these three days is 7+8+8=23 inches of rain.
- 952.
Rick can iron 4 dress shirts in an hour. He can iron 3 dress pants in an hour. If he spends 3 hours ironing dress shirts and 5 hours ironing dress pants, how many pieces of clothing has he ironed?
Answer: 27Rick has ironed 4 x 3 = 12 dress shirts. He has ironed 3 x 5 = 15 dress pants. In total, he has ironed 12 + 15 = 27 pieces of clothes.
- 953.
Julie, Letitia and Anton decided to have dinner together at a nearby restaurant. Julie orders $10 worth of food, Letitia orders $20 worth of food, and Anton orders $30 worth of food. How much should each pay in tips if they want to split a 20% tip for the whole meal evenly?
Answer: 4First, we need to determine how much the entire meal costs before we can determine the tip. We perform 10+20+30=60 dollars worth of food. Now we need to find out how much the total tip to be paid is, by multiplying 60*.2=12 dollars in tips. Since they want to split this evenly amongst three people, this works out to 12/3= 4 dollars in tips per person.
- 954.
A total of 42 baby sea turtles hatched and are headed to the ocean. One-third of them got swept to the sea by a wave. How many are still on the sand?
Answer: 28This many baby turtles are in the ocean: 42 / 3 = 14 turtles. This many baby turtles are still on the sand: 42 - 14 = 28 turtles.
- 955.
The town of Belize has 400 homes. One fourth of the town's homes are white. One fifth of the non-white homes have a fireplace. How many of the non-white homes do not have a fireplace?
Answer: 240There are 400/4 = 100 white homes in Belize. There are 400-100 = 300 non-white homes in Belize. There are 300/5 = 60 non-white homes that have a fireplace. There are 300-60 = 240 non-white homes that do not have a fireplace.
- 956.
If Lyn donates $240 to a private organization each year where 1/3 of it goes to the community pantry project, 1/2 goes to the local crisis fund, 1/4 of the remaining goes to livelihood project funds, and the rest is for contingency funds. How much goes to contingency fund?
Answer: 30The community pantry project gets 240 x 1/3 = $80. The local crisis fund has 240 x 1/2 = $120. The total funds allocated for the two funds is $80 + $120 = $200. So, $240 - $200 = $40 are left for the other 2 funds. The livelihood project gets $40 x 1/4 = $10. This means that the contingency fund is $40 - $10 = $30.
- 957.
There are 30 different nuts in a bowl. If 5/6 of the nuts were eaten, how many nuts were left?
Answer: 530 x 5/6 = 25 nuts were eaten. Thus, 30 - 25 = 5 nuts were left.
- 958.
Anne is drawing pictures. She has 12 markers and she notices that each one lasts for about 1.5 drawings. If she has already made 8 drawings, how many more can she make before she runs out of markers?
Answer: 10She can make 18 drawings in total because 12 x 1.5 = 18 She can make ten more because 18 - 8 = 10
- 959.
When Herman's team is busy working on large projects he stops at the drive-through 5 days, every week to buy a breakfast combo for himself and 3 members of his team. Each meal costs $4.00. This current project will last 16 weeks. How much will Herman spend on breakfast?
Answer: 1280Herman buys himself and 3 team members breakfast 5 days a week so that’s 4*5 = 20 breakfast combo meals Each combo meals costs $4.00 and he buys 20 of them a week so that’s 4*20 = $80.00 Over a 16 week period he spends 16*80 = $1,280.00 on breakfast
- 960.
While driving up a road, Philip passed through 5 intersections. 4 crosswalks marked each intersection with a total of 20 lines per crosswalk. Calculate the total number of lines of the crosswalks in the five intersections.
Answer: 400If one intersection has 4 crosswalks, with 20 lines per crosswalk, there are 20*4 = 80 lines in all the crosswalks per intersection. If there are 5 intersections, the total number of lines in all the intersections is 80*5 = 400 lines
- 961.
Brooke is milking cows and then selling the milk at the market for $3 a gallon. Whatever milk doesn't sell, she turns into butter. One gallon of milk equals 2 sticks of butter. She then sells the butter for $1.5 a stick. She has 12 cows. Each cow produces 4 gallons of milk. She has 6 customers, each of whom wants 6 gallons of milk. How much money does she earn if she sells all her milk and butter?
Answer: 144A gallon of milk makes $3 worth of butter because 2 x 1.5 = 3 A gallon of milk sells for the same amount as milk or butter because 3 = 3 She gets 48 gallons of milk because 4 x 12 = 48 She earns $144 selling the milk because 48 x $3 = 144
- 962.
Sab and Dane sold 6 pairs of shoes that cost $3 each and 18 shirts that cost $2. How much will each of them earn if they divided their total earning?
Answer: 27They earned 6 x $3 = $18 for the shoes they sold. They earned 18 x $2 = 36 for the shirts they sold. So, they earned $18 + $36 = $54 in total for the clothing they sold. Therefore, Sab and Dane earned $54 / 2 = $27 each.
- 963.
Sean and Sierra invited 200 guests to their wedding. If 83% of the guests RSVP with a Yes response and 9% of the guests RSVP with a No response, how many guests did not respond at all?
Answer: 16Yes RSVP responses are 200 x 83% = 166 guests. No RSVP responses are 200 x 9% = 18 guests. Guests who responded are 166 + 18 = 184. Guests who did not respond at all are 200 - 184 = 16.
- 964.
Allen ordered five boxes of pizza, which cost $7 each box. He then gave a tip which amounts to 1/7 of the total cost of his order. If he gave the delivery man $100, how much change did he receive?
Answer: 60The total cost of five boxes of pizza is $7 x 5 =$35. He gave $35 x 1/7 = $5 tip to the delivery man. He spent a total of $35 + $5 = $40 for the pizza and the tip. The change that he received is $100 - $40 = $60.
- 965.
A party venue has 4 tables that seat 6 people each, 16 tables that seat 4 people each, and 8 round tables that seat 10 people each. What is the total capacity of all the tables at the party venue?
Answer: 168Four 6-seater tables can accommodate 4 x 6 = 24 people. Sixteen 4-seater tables can accommodate 16 x 4 = 64 people. Eight 10-seater table can accommodate 8 x 10 = 80 people. Therefore, all the tables in the party venue can accommodate 24 + 64 + 80 =168 people.
- 966.
In 6 months Bella and Bob will be celebrating their 4th anniversary. How many months ago did they celebrate their 2nd anniversary?
Answer: 18First, we find their current point in time be realizing that 4 years is 4 sets of 12 months, meaning at that anniversary they will have been together 4*12=48 months Then, we subtract their 6 month difference, finding they are at 48-6=42 months into their relationship. Since 2 years would be 2*12=24 months into the relationship. We take the larger number, 42, and subtract the smaller number, 24 to find the difference in months, meaning it is 42-24= 18 months
- 967.
Fred wants to order a variety pack of sliced meats for the upcoming game. He can order a 4 pack of fancy, sliced meat for $40.00 and add rush delivery for an additional 30%. With rush shipping added, how much will each type of sliced meat cost?
Answer: 13The variety pack costs $40.00 and rush shipping is an additional 30% so that’s 40*.30 = $12.00 The variety pack costs $40.00 and rush shipping is $12.00 so they will cost 40+12 = $52.00 The order will cost $52.00 and he will get 4 types of fancy, sliced meats so each type costs 52/4 = $13.00
- 968.
Johnny has been playing guitar for a while now. He practices the same amount each day. As of 20 days ago he had half as much practice as he has currently. How many days will pass before Johnny has 3 times as much practice as he does currently?
Answer: 80If Johnny had half as much practice as he currently has as of 20 days ago, this means he has 20*2=40 days worth of practice currently. Therefore, to have three times as much practice as he currently has, he'd need to practice for 40*3=120 days. Since he's already practiced for 40 days, this means he needs to practice or 120-40= 80 more days
- 969.
There are 30 students in the general study hall and twice as many students in the biology hall as there are in the general study hall. If the number of students in the math hall is 3/5 times as many as the combined total number of students in the general study hall and the biology hall combined, calculate the total number of students in all the halls combined.
Answer: 144The number of students in the biology hall is twice the number of students in the general hall, meaning there are 2*30 = 60 students in the biology hall. The total number of students in the biology hall and general study hall is 60+30 = 90 students. If there are 3/5 times as many students in the maths hall as there are in the general study hall and biology hall, their number is 3/5*90=54 students in the maths hall. The total number of students in the three halls is 54+90 = 144 students
- 970.
Seven bottles of soda cost $21.00 while 4 bottles of water cost $8. If David wants to buy 3 bottles of soda and 2 bottles of water, how much will that cost?
Answer: 13One bottle of soda costs $21.00/7 = $3.00. Three bottles of soda cost $3.00 x 3 = $9.00. One bottle of water costs $8.00/4 = $2.00. Two bottles of water cost $2.00x 2 = $4.00. Therefore, 3 bottles of soda and 2 bottles of water cost $9.00 + $4.00 = $13.00.
- 971.
Jackson's mom packs him a peanut butter and jelly sandwich for his school lunch on Wednesdays and Fridays. There are 36 weeks of school and Jackson has only missed 1 Wednesday and 2 Fridays. How many peanut butter and jelly sandwiches did he eat for lunch this school year?
Answer: 6936 weeks of school x 2 days of the week = 72 days of school 1 Wednesday + 2 Fridays = 3 days of school missed 72 days of school – 3 days of school missed = 69 peanut butter and jelly sandwiches eaten
- 972.
Emily went to the store and bought art supplies for $20 and 2 skirts that cost the same amount of money. She spent a total of $50. How much did Emily pay for each of the skirts?
Answer: 15First, you need to set up the problem with the information given. The cost of the skirts and art supplies must equal $50. Since we know that the cost of the skirts is the same price and that she bought art supplies for $20, we can set up an equation: 2x + 20 = 50, with x being the cost of the skirts. To solve the equation, subtract 20 from both sides, to give you the new equation: 2x = 30. Solve for x by dividing both sides of the equation by 2, 2x/2 = 30/2 gives you x = 15. Therefore, each skirt cost $15.
- 973.
Tony tries to drink more water, so he has been tracking how much water he drinks. Yesterday, he drank 48 ounces of water, which is 4% less than what he drank two days ago. How much water did Tony drink two days ago?
Answer: 50Tony drank yesterday 100% - 4% = 96% of what he drank two days ago. Since 96% is 48 ounces, then every 1% is equal to 48/96 = 0.5 ounces of water. So, Tony drank 0.5 x 100 = 50 ounces two days ago.
- 974.
Larry spends half an hour twice a day walking and playing with his dog. He also spends a fifth of an hour every day feeding his dog. How many minutes does Larry spend on his dog each day?
Answer: 72Larry spends 30 * 2 = 60 minutes per day walking his dog. Larry spends 60 / 5 = 12 minutes every day feeding his dog. Larry spends 60 + 12 = 72 minutes per day on his dog.
- 975.
Beyonce releases 5 different singles on iTunes. Then she releases 2 albums that each has 15 songs and 1 album that has 20 songs. How many songs has Beyonce released in total?
Answer: 55In her 2 albums, Beyonce releases 2 * 15 = 30 songs In her next album, Beyonce releases 1 * 20 = 20 songs Since each single is one song, Beyonce releases a total of 30 + 20 + 5 = 55 songs
- 976.
Keanu bought some fish from the store for his pets. He gave his cat half as many fish as he gave to his dog. If he gave his dog 40 fish, and each fish cost him $4, calculate the total amount of money he spent at the store to buy all the fish.
Answer: 240The cat received half as many fish as the number given to the dog, which means the cat received 1/2*40 = 20 fish. This means Keanu bought 20+40 = 60 fish at the store. If each fish cost him $4, the total cost for the fish he bought at the store is 60*$4 = $240
- 977.
James wants to build a 16-foot by 20-foot quilt. He uses patches that are each 4 square feet. The first 10 patches cost $10 each and then each patch after that cost half as much. How much do the patches for the quilt cost?
Answer: 450The patch is 16*20=320 square feet So he needs 320/4=80 patches The first 10 patches cost 10*10=$100 He gets a discount on the next 80-10=70 patches They each cost 10/2=$5 So in total they cost 70*5=$350 That means in total he paid 100+350=$450
- 978.
Avery puts 4 shirts in the donation box. He adds twice as many pants as shirts in the box. He throws in half as many shorts as pants in the box. In total, how many pieces of clothes is Avery donating?
Answer: 16The total number of shirts in the donation box is 4. The total number of pants in the donation box is 4 x 2 = 8. The total number of shorts in the donation box is 8 / 2 = 4. The total number of clothes donated is 4 + 8 + 4 = 16 pieces.
- 979.
Yolanda scored 345 points over the entire season. There were 15 games over the season. She averaged 4 free throws (worth one point), and 5 two-point baskets per game. How many three-point baskets did she average a game?
Answer: 3She averaged 23 points per game because 345 / 15 = 23 She averaged 10 points a game off two-point baskets because 5 x 2 = 10 She averaged 4 points a game from free throws because 4 x 1 = 4 She averaged 14 points a game off non-three point baskets because 10 + 4 = 14 She averaged 9 points from three-pointers because 23-14 = 9 She averaged 3 three-pointers a game because 9 / 3 = 3
- 980.
Hugo's mountain has an elevation of 10,000 feet above sea level. Boris' mountain has an elevation that is 2,500 feet shorter than Hugo's mountain. If Hugo climbed his mountain 3 times, how many times would Boris need to climb his mountain to have climbed the same number of feet as Hugo?
Answer: 4Boris' mountain has an elevation 2,500 feet shorter than Hugo's mountain, or 10,000-2,500=7500 feet above sea level. If Hugo climbed his mountain 3 times, his total climbing distance would be 3*10,000=30,000 feet. To climb a total of 30,000 feet, Boris would need to need to climb his mountain 30,000/7,500=4 times.
- 981.
Walter fell from the eighth platform of some scaffolding and fell past David after falling 4 meters. If he fell for an additional three more times that depth before hitting the ground, and the platforms are evenly spaced out in height, what platform was David on?
Answer: 6Walter fell 4 meters and an additional three times that depth which is 3*4 = 12 meters He fell for a total of 4+12 = 16 meters The eighth platform is 16 meters high and the platforms are evenly spaced so each platform is 16/8 = 2 meters high David was located 4 meters below the 16 meter level which is 16-4 = 12 meters high Each platform is 2 meters high so 12 meters would mean the 12/2 = 6th platform
- 982.
Kirt has a $6000 monthly salary when he started his job. After a year of working, his salary increased by 30%. How much are his total earnings after 3 years?
Answer: 259200His annual salary for the first year of working is 6000 x 12= $72000. Kirt's monthly increase is $6000 x 30/100= $1800. So, he received $6000 + $1800= $7800 monthly on the second and third year of working. Kirt's annual salary in the second and third year was $7800 x 12 = $93600. Thus, his total earning after 3 years is $72000 + $93600 + $93600 = $259200.
- 983.
Mike has earned a total of $160 in wages this week. He received the wages for his first job, then later received the wages from his second job where he works 12 hours a week. If his second job pays $9 per hour then how much money, in dollars, did Mike receive from his first job?
Answer: 52From his second job, Mike receives $9/hour * 12 hours = $108. He therefore earned $160 – $108 = $52 from his first job.
- 984.
A bear eats up to 90 pounds of food per day to prepare for hibernation. If Victor weighs 126 pounds, how many "Victors" worth of food would a bear eat in 3 weeks?
Answer: 15There are 3 x 7 = 21 days in 3 weeks. In 3 weeks, a bear would eat 90 x 21 = 1890 pounds of food. A bear would eat 1890/126 = 15 "Victors" worth of food in 3 weeks.
- 985.
A bicycle store is running a promotion. Every time a customer buys a bicycle, they will receive 2 bike clamps free with it. If the store sells 19 bikes in the morning and 27 bikes in the afternoon, how many bike clamps has the store given to customers?
Answer: 92In the morning, the store gives away 19 bikes * 2 bike clamps = 38 bike clamps. In the afternoon, they give away 27 bikes * 2 bike clamps = 54 bike clamps. So in total, the store has given away 38 + 54 = 92 bike clamps.
- 986.
A man drives 60 mph for 3 hours. How fast would he have to drive over the next 2 hours to get an average speed of 70 mph?
Answer: 85To have an average speed of 70 mph over 5 hours he needs to travel 70*5=350 miles. He drove 60*3=180 miles in the first 3 hours He needs to travel another 350-180=170 miles over the next 2 hours. His speed needs to be 170/2=85 mph
- 987.
After shearing her 200 sheep, Azalea paid the shearer who had come to help her with the work $2000 for his job. Each of the sheared sheep produced 10 pounds of wool. If Ms. Azalea sold a pound of wool at $20, how much profit did she make from the produce of her sheep farm?
Answer: 38000Since there were 200 sheep, the amount of wool Azalea got after the shearing of the sheep is 200*10 = 2000 pounds of wool. If she sold one pound of wool at $20, the total amount of money she made from the sheep farm is 2000*$20 = $40000 Her profit, which is $2000 less the amount of money she paid to the shearer, is $40000-$2000 = 38000
- 988.
Jimmy is going to sell pizzas at the carnival to make some money. The carnival only gave him 7 hours to do so. He bought a 22kg sack of flour to make his pizzas and he takes 10 min to make each pizza for the customers. At the end of the 7 hours, he saw some flour was left. Knowing that each pizza needs 0.5kg of flour to make, how many pizzas can he make to bring home with the flour left?
Answer: 2Each hour Jimmy makes 60min ÷ 10min/pizza = 6 Pizzas The number of total pizzas made equals 7 hours x 6 pizzas/hour = 42 pizzas The amount of total flour used equals 42 pizzas x 0.5 kg/pizza = 21 kg The amount of flour left equals 22 kg - 21 kg = 1 kg The number of pizzas Jimmy can make is 1kg ÷ 0.5kg/pizza = 2 pizzas
- 989.
Gabby is saving money to buy a new makeup set. The makeup set costs $65 and she already has $35. Gabby's mom gives her an additional $20. How much money does Gabby need to buy the set?
Answer: 10Deduct the amount saved from the total cost of the set. $65 - $35 = $30 Deduct the amount of money Gabby received from her mom. $30 - $20 = $10
- 990.
It is recommended that men should consume no more than 150 calories of added sugar per day. Mark took a soft drink in the afternoon that contained 2500 calories, 5% of which was from added sugar. Then he bought some bars of candy which had 25 calories of added sugar each. If he eventually exceeded the recommended intake of added sugar by 100%, how many bars of candy did he take?
Answer: 7He consumed 2500 calories, 5% of which is added sugar to give 2500*(5/100) = 125 calories of added sugar. He exceeded the recommended intake of 150 calories by 100% for a total consumption of 150+(150(100/100)) = $300 This means he took in 300-125 = 175 calories from candy alone Each candy had 25 calories so 175 calories which means he consumed 175/25 = 7 bars?
- 991.
Nadine went to a garage sale and spent $56. She bought a table for $34 and 2 chairs. Each chair cost the same amount. How much did one chair cost?
Answer: 11Nadine spent $56 - $34 for the table = $22 on chairs. The cost of the chairs was equal, so one chair cost $22 / 2 = $11.
- 992.
A book is 98 pages long. Half of the pages are filled with images, and 11 with an introduction. Of the remaining pages, half are blank and the other half are filled with text. How many pages with text are there?
Answer: 19Half of the pages are images, which means 98 * 0.5 = 49 pages. So there are 98 - 49 - 11 pages for the introduction = 38 remaining pages. Half of the remaining pages are filled with text, which means 38 * 0.5 = 19 pages.
- 993.
Charlie has three times as many Facebook friends as Dorothy. James has four times as many friends on Facebook as Dorothy. If Charlie has 12 friends on Facebook, how many Facebook friends does James have?
Answer: 16Dorothy has 12 / 3 = 4 Facebook friends. James has 4 * 4 = 16 Facebook friends.
- 994.
Caleb is baking a birthday cake for his grandfather. His grandfather is turning 79 years old. Caleb puts three colors of candles on the cake. He puts one candle for each year for his grandfather. He puts 27 yellow candles, 14 red candles and the rest are blue candles. How many blue candles did he use?
Answer: 38Caleb has put 27 + 14 = 41 yellow and red candles. So, he used 79 - 41 = 38 blue candles.
- 995.
Buoys are placed in the ocean at even intervals away from the beach to help swimmers monitor how far away from the beach they have swum. If a swimmer reaches the third buoy, they have swum out 72 meters. How many meters from the beach is the fourth buoy?
Answer: 96The buoys are evenly spaced, so the first buoy is 72 / 3 = 24 meters from the beach. Thus, the fourth buoy is 24 * 4 = 96 meters from the beach.
- 996.
Mark has two pets, a hare that runs 10 feet/second and a turtle that crawls 1 foot/second. If they're going to run a 20 foot-race, how much of a head start (in seconds) does the turtle need to finish in a tie?
Answer: 18We can find how long the hare spends running by dividing the distance of the race by the hare's speed: 20 feet / 10 feet/second = 2 seconds We can do the same for the turtle: 20 feet / 1 foot/second = 20 seconds Finally, subtract the hare's run time from the turtle's run time to find the length of the head start the turtle needs: 20 seconds - 2 seconds = 18 seconds
- 997.
Jessie's community built a new hedge. Each section of the hedge used 30 pieces of concrete blocks that cost $2 per piece. The hedge has eight sections. How much did they spend on the concrete blocks?
Answer: 480They used 30 x 8 = 240 concrete blocks for the eight sections. So, they spent 240 x $2 = $480 on the concrete blocks.
- 998.
Jerry is writing a script for a skit with three characters. The first character has eight more lines than the second character. The third character only has two lines. The second character has six more than three times the number of lines the third character has. How many lines does the first character in Jerry's skit script have?
Answer: 20The second character has 6 + 3 * 2 = 6 + 6 = 12 lines. The first character has 12 + 8 = 20 lines.
- 999.
There are 4 trains waiting at a train station and each train has 4 carriages. Each carriage has 3 rows of wheels and the rows of wheels have 5 wheels each. How many wheels are at the train station?
Answer: 240Each carriage has 3 rows of wheels * 5 wheels per row = 15 wheels. So each train has 4 carriages * 15 wheels per carriage = 60 wheels. There is therefore a total of 4 trains * 60 wheels per train = 240 wheels at the train station.
- 1000.
A zookeeper is counting how many lions are in their enclosure. She counts 12 female lions, half as many male lions, and 14 lion cubs. How many lions are in the enclosure?
Answer: 32There are 12/2 = 6 male lions in the enclosure. So there is a total of 12 + 6 + 14 = 32 lions in the enclosure.
How to use these math word problems
- Think-pair-share. Give one problem, two minutes alone, two minutes with a partner, then compare methods as a class.
- Estimate first. Before solving, ask for a quick estimate. Comparing estimate and answer builds number sense.
- Show the steps. Reveal the worked solution only after students share theirs — then discuss the differences.
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