Math Word Problems for Students — page 36

There will be $1000 x 3/10 = $300 worth of money that will be changed into $50 bills. Uncle Bradley will have $300/$50 = 6 pieces of $50 bills. He will change $1000 - $300 = $700 worth of money into $100 bills. So there will be $700/$100 = 7 pieces of $100 bills. Thus, there will be a total of 6 + 7 = 13 pieces of $50 and $100 bills in all.

Let X be the age of Cooper. So Dante is X*2 years old and Maria is X*2 + 1 year old. The sum of Cooper’s, Dante’s, and Maria’s ages is X + (X*2) + (X*2 + 1) = 31. Combining like terms, we get X*5 + 1 = 31. Subtracting one from both sides, we get X*5 = 30. Dividing both sides by 5, we get X = 6 years old.

First calculate how much Jenna spends on salaries: $2,500 * 4 = $10,000 Next find Jenna's total fixed costs by adding the cost of salaries and rent: $10,000 + $10,000 = $20,000 Next calculate how much profit Jenna makes on each widget by subtracting the cost from the sale price: $8 - $3 = $5 Now multiply the profit per widget by the number of widgets sold: $5 * 5000 = $25,000 Now subtract Jenna's costs from her sales to find her total profit before taxes: $25,000 - $20,000 = $5,000 Now multiply Jenna's profit by her 20% tax rate to find how much she owe in taxes: $5,000 * .2 = $1,000 Now subtract Jenna's taxes from her profit before taxes to find her total profit: $5,000 - $1,000 = $4,000

For breakfast, the family ate 12 / 3 = 4 slices of bread After breakfast, the family has 12 - 4 = 8 slices of bread remaining. After Neeley's lunch, there are 8 - 2 = 6 slices of bread remaining.

Half of Sid's original money is $48/2 = $24. Sid has only $24 + $4 = $28 left after his purchases. He had $28 + $8 = $36 before he spent $8 on snacks. So, Sid spent $48 - $36 = $12 on computer accessories.

For the fruits, the company needs to pay 3 * 2 = $6 per batch. 10 liters of milk is a cost of 10 * 1.5 = $15 for the company. So in total one batch is a cost of 15 + 6 = $21. So three batches of yogurt is a cost of 3 * 21 = $63.

The short show has 24*.5=12 hours of TV The long show is 12*1=12 hours So in total he watches 12+12=24 hours

John has 6 more toys than Rachel + 1 Rachel toy = 7 toys Jason has 3 * 7 John toys = 21 toys

Since one train is traveling half the speed of the train traveling 60 miles an hour, that means that train is traveling 60/2= 30 miles an hour. Therefore, to find the distance traveled each hour in total we add both trains' speed together for a total of 60+30=90 miles traveled each hour. This means that in 3 hours they will have traveled 90*3= 270 miles away from each other.

She watches 30 minutes of tv per night, 5 days a week so that's 30*5 = 150 minutes of tv She watches 2 hours of tv on the weekends and 60 minutes are in 1 hour so that's 2*60 = 120 minutes of tv All total she watches 150+120 = 270 minutes of tv per week There are 52 weeks in a year and she watches 270 minutes per week so that's 52*270 = 14,040 minutes of tv per year She watches 14,040 minutes of tv and 60 minutes are in an hour so she watches 14040/60 = 234 hours

Out of 3 wands purchased, Kate sold her friends 3 wands - 1 wand = 2 wands. For 2 wands she charged $130, so for 1 wand she charged $130 / 2 wands = $65/wand. Since she charged $5 more for each wand than she paid, Kate paid $65 - $5 = $60 for each wand.

His new car costs 1800+2000=3800 dollars. His old car cost 3800/2=1900 dollars.

Ten sandwiches every day for one week is 7*10 = 70 sandwiches. For every sandwich that Sam eats, he eats four apples, and since he ate 70 sandwiches, he ate 70*4 =280 apples.

He has seen 48 chimp legs because 12 x 4 = 48 He has seen 32 lion legs because 8 x 4 = 32 He has seen 20 lizard legs because 5 x 4 = 20 He has seen 100 total legs because 48 + 32 + 20 = 100 He has to see 1000 tarantulas legs because 1100- 100 = 1000 He has to see 125 tarantulas because 1000/ 8 = 125

First find how many burrs are caught in the dog's fur: 12 burrs * 6 ticks/burr = 72 ticks Then add the number of burrs to find the total number objects: 72 objects + 12 objects = 84 objects

Arthur is 2 years older than Susan, so he is 15 + 2 = 17 years old. Bob is 11 years old, so Tom is 11 - 3 = 8 years old. So in total these four family members have 11 + 15 + 17 + 8 = 51 years.

Wallace already has 20 bags of jerky, so he needs to make 60 - 20 = 40 bags more. He can make 10 bags per day, so he needs 40 / 10 = 4 days to fulfill the customer’s order.

If he has to build 4 walls, each having 6 courses, the total number of courses to be built is 4 * 6 = 24 courses. If each course has 10 bricks, then the total of bricks for the courses is 24 * 10 = 240 bricks. The total number of bricks missing to finish the last wall is 2 * 10 = 20 bricks. The total number of used bricks is 240 - 20 = 220 bricks.

Jen did 16 triple-flips, so she did 16 * 3 = 48 flips. Tyler did half the number of flips, so he did 48 / 2 = 24 flips. A double flip has two flips, so Tyler did 24 / 2 = 12 double-flips.

There are 13 items - 1 eraser = 12 pens and pencils. There are 12 items / 3 = 4 pencils.

If b is the length of the body, h is the length of the head, and t is the length of the tail, we know that b + h + t = 30, h = b/6 and t = b/2. We can substitute the second two equations into the first equation to get b + b/6 + b/2 = 30 Now multiply both sides of this equation by 6: 6b + b + 3b = 180 Now combine like terms: 10b = 180 Now divide both sides by 10: b = 180. The dog's body is 18 inches long. Now divide that length by 2 to find the length of its tail: 18 inches / 2 = 9 inches

Let j be the length of Jake's snake and p be length of Penny's snake. We know that j + p = 70, and j = p + 12. We can substitute the second equation into the first equation to get p + 12 + p = 70 Combining like terms, we get 2p + 12 = 70 Subtracting 12 from both sides, we get 2p = 58 Dividing both sides by 2, we get p = 58 / 2 = 29 inches. Penny's snake is 29 inches. Substituting that length in to the equation j = p + 12, we get j = 29 inches + 12 inches = 41 inches

Adam bought 3 sandwiches, so he paid 3 * 3 = $9 for them. In total Adam bought products for 2 + 9 = $11.

If the shopkeeper bought 150 packets of milk, each packet containing 250ml of milk, all the packets had a total of 250*150 =37500ml Since one ounce equal 30 ml, the total amount of milk that the shopkeeper bought in oz is 37500/30=1250 oz of milk

Two packs of basketball cards cost 2 x $3 = $6. Five decks of baseball cards cost 5 x $4= $20. Thus, the total cost of the cards was $6 + $20 = $26. Therefore, Olivia received change of $50 - $26 = $24.

Josh can eat 2 x 2 = 4 slices a day. Together, Abby and Josh can eat 2 + 4 = 6 slices a day. So, a loaf of bread will last for 24/6 = 4 days.

If the son is going to be eight years old after a year from now, then currently, he is 8-1 = 7 Since the father's age is five times that of the son, currently he is 5*7 = 35 years old.

Adam's father gave him $6 * 2 = $12. So considering the price Adam needed to pay $30 - $12 - $6 = $12 for his trousers from his savings.

He spend $1.5 on soda because 2 - .5 = 1.5 He bought 6 ounces of soda because 1.5 / .25 = 6

Let s be the number of guests who want steak and c be the number who want chicken. We know that s + c = 80 and s = 3c. Substituting the second equation into the first equation, we get 3c + c = 80 Combining like terms, we get 4c = 80 Dividing both sides by 4, we get c = 20 Then multiply the number of guests who want chicken by the cost of each chicken entree: 20 guests * $18/guest = $360 Then triple the number of guests who want chicken to find the number who want steak: 20 guests * 3 = 60 guests Then multiply the number of guests who want steak by the cost of each steak entree: 60 guests * $25/guest = $1500 Then add the cost of the steak and chicken entrees to find the total cost: $1500 + $360 = $1860

On highways, the Jensen family used 210 miles / 35 miles/gallon = 6 gallons of gas. On city streets, the Jensen family used 54 miles / 18 miles/gallon = 3 gallons of gas. Total, the Jensen family used 6 gallons + 3 gallons = 9 gallons of gas.

Multiplying the number of students eating at the cafeteria by three means that 3 * 10 = 30 students bring lunch. The total number of students that eat lunch is 10 + 30 = 40 students Since the class has 60 students, those who don't eat lunch are 60-40 = 20 students.

First find the total distance the potato flies in yards: 200 yards/field * 6 fields = 1200 yards Then multiply that number by the number of feet per yard to convert it to feet: 1200 yards * 3 feet/yard = 3600 feet Then divide that number by the dog's speed to find the number of minutes it has to run to fetch the potato: 3600 feet / 400 feet/minute = 9 minutes

For the distance she traveled, Elise paid 23 - 3 = 20 dollars Since the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = 5 miles.

Three times as many misses as hits is 3*50 = 150 The total number of hits and misses in the game is 150+50 = 200

The total number of strawberries in the three baskets is 3*900 = 2700 If 2/9 of the strawberries were remaining out of all the strawberries after the hedgehogs ate some, there were 2/9*2700 = 600 strawberries remaining. The total number of strawberries that the two hedgehogs ate is 2700-600 = 2100 strawberries. If the hedgehogs ate an equal number of strawberries, each ate 2100/2 = 1050 strawberries.

First, we need to find the average number of apples per person. We start by adding the three totals together, getting 20+60+40=120 apples To finish finding the average number, we perform 120/3= 40 apples per person. Since Jim has 20 apples, we divide the average of 40 by Jim's total to find 40/20=2 times that Jim's amount can fit into the average.

Originally, the houses are 7300+5200=12500 sq. ft. in total. The smaller house will be expanded by 16000-12500=3500 sq. ft.

He has consumed 7 * 50 = 350 calories from the cookies. He needs to consume 500 - 350 = 150 more calories. He should eat 150 / 15 = 10 crackers.

There are 16 curlers in all and ¼ of them are pink or 16 curlers / 4 = 4 pink curlers. There are twice as many blue curlers as there are pink ones, so there are 4 pink x 2 = 8 blue curlers. Together, there are 4 pink curlers + 8 blue curlers = 12 pink and blue curlers in Erin’s hair. The remaining curlers are green, so of the 16 total curlers – 12 pink and blue curlers = 4 green curlers are in Erin’s hair.

If they played 30 rounds, the total possible points from wins are 5*30 = 150 points. Scoring 3/5 of the total possible points earns you 3/5 * 150 points = 90 points If Taro scored 4 points less than 3/5 of the total points, he scored 90 points - 4 points = 86 points. If the total points scored in the game is 150, then Vlad scored 150 points - 86 points = 64 points

If the two expectant dogs gave birth to 10 puppies each, the total number of puppies Nalani had is 10+10= 20 When they came of age, Nalani sold 3/4 of the dogs, a total of 3/4*20 = 15 dogs. If each dog sold for $200, Nalani received 15*200 = $3000 from the sale of the dogs.

Nellie played hide and seek with 6 + 8 = 14 kids. In all, Nellie played with 14 + 22 = 36 kids.

Let Mel's weight be m Brenda’s weight is 3*m + 10 = 220 pounds Thus 3m = 220 - 10 = 210 pounds Therefore Mel's weight is m = 210/3 = 70 pounds

He traveled 2 more than 5 miles, or 5+2=7 miles. He encountered 3 less than 17 stop signs, or 17-3=14 stop signs. Thus, during his trip across town, Rudolph encountered 14/7=2 stop signs per mile.

It will take 1.5 days x 2 = 3 days to explore 2 islands. So, the pirates will walk 20 miles x 3 days = 60 miles to explore two islands. The other 2 islands will be explored by walking 25 miles x 3 days = 75 miles. Thus, the pirates will need to walk 60 + 75 = 135 miles to explore the 4 islands.

If Betty had 60 marbles, she gave Stuart 40/100*60=24 marbles. Since the number of marbles in Stuart's collection increased to 80 after Betty gave him 24 marbles, the number of marbles he initially had is 80-24=56

The total number of tickets needed is 5 tickets + 4 tickets + 4 tickets = 13 tickets. Jeanne needs 13 tickets - 5 tickets = 8 tickets.

The second pair of heels costs 33 * 2 = $66. The heels together cost 66 + 33 = $99. The boots cost $5 more than both pairs of heels together, so the boots cost 99 + 5 = $104.

Each additional phone costs 20 / 2 = $10. Thus, the four additional phones cost 4 * 10 = $40 in all. Thus, the whole phone plan cost $40 + $20 = $60.