Sample page from a math worksheet focusing on word problems that require calculating costs and change.
Printable math worksheet featuring ten word problems about calculating change from purchases.
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Show Answer Key & Explanations
Step-by-step solution for: Word Problems Worksheets | Dynamically Created Word Problems
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Show Answer Key & Explanations
Step-by-step solution for: Word Problems Worksheets | Dynamically Created Word Problems
Let's solve each problem step by step.
---
Mary loves eating fruits. Mary paid $7.98 for each of 2 berries, and $5.99 for each of 3 peaches with 2 $20 bills. How much change did Mary receive?
#### Step-by-Step Solution:
1. Calculate the total cost of berries:
\[
2 \times 7.98 = 15.96
\]
2. Calculate the total cost of peaches:
\[
3 \times 5.99 = 17.97
\]
3. Calculate the total cost of all items:
\[
15.96 + 17.97 = 33.93
\]
4. Calculate the total amount of money Mary paid with (2 $20 bills):
\[
2 \times 20 = 40
\]
5. Calculate the change Mary received:
\[
40 - 33.93 = 6.07
\]
#### Answer:
\[
\boxed{6.07}
\]
---
Joan went to the mall on Saturday for clothes. She paid $13.37 each for 3 jackets and $14.51 each for 2 shorts with 4 $20 bills. How much money did Joan get in change?
#### Step-by-Step Solution:
1. Calculate the total cost of jackets:
\[
3 \times 13.37 = 40.11
\]
2. Calculate the total cost of shorts:
\[
2 \times 14.51 = 29.02
\]
3. Calculate the total cost of all items:
\[
40.11 + 29.02 = 69.13
\]
4. Calculate the total amount of money Joan paid with (4 $20 bills):
\[
4 \times 20 = 80
\]
5. Calculate the change Joan received:
\[
80 - 69.13 = 10.87
\]
#### Answer:
\[
\boxed{10.87}
\]
---
Nancy joined school band. She bought 4 violins at $37.82 per violin, and 2 song books which were $7.96 each with 4 $100 bills. How much change was Nancy given?
#### Step-by-Step Solution:
1. Calculate the total cost of violins:
\[
4 \times 37.82 = 151.28
\]
2. Calculate the total cost of song books:
\[
2 \times 7.96 = 15.92
\]
3. Calculate the total cost of all items:
\[
151.28 + 15.92 = 167.20
\]
4. Calculate the total amount of money Nancy paid with (4 $100 bills):
\[
4 \times 100 = 400
\]
5. Calculate the change Nancy received:
\[
400 - 167.20 = 232.80
\]
#### Answer:
\[
\boxed{232.80}
\]
---
Tom purchased 5 football games for $10.88 each, and 5 Pokemon games for $11.87 each with 6 $20 bills. How much change did Tom get?
#### Step-by-Step Solution:
1. Calculate the total cost of football games:
\[
5 \times 10.88 = 54.40
\]
2. Calculate the total cost of Pokemon games:
\[
5 \times 11.87 = 59.35
\]
3. Calculate the total cost of all items:
\[
54.40 + 59.35 = 113.75
\]
4. Calculate the total amount of money Tom paid with (6 $20 bills):
\[
6 \times 20 = 120
\]
5. Calculate the change Tom received:
\[
120 - 113.75 = 6.25
\]
#### Answer:
\[
\boxed{6.25}
\]
---
Nancy bought 2 packs of basketball cards for $3.78 each, and 4 decks of baseball cards for $7.38 each with 2 $20 bills. How much change did Nancy get?
#### Step-by-Step Solution:
1. Calculate the total cost of basketball cards:
\[
2 \times 3.78 = 7.56
\]
2. Calculate the total cost of baseball cards:
\[
4 \times 7.38 = 29.52
\]
3. Calculate the total cost of all items:
\[
7.56 + 29.52 = 37.08
\]
4. Calculate the total amount of money Nancy paid with (2 $20 bills):
\[
2 \times 20 = 40
\]
5. Calculate the change Nancy received:
\[
40 - 37.08 = 2.92
\]
#### Answer:
\[
\boxed{2.92}
\]
---
Tom bought 5 hotdogs and paid $1.79 for each. Then, Tom bought 4 salads for $4.01 each with three $10 bills. What was the change from the purchase?
#### Step-by-Step Solution:
1. Calculate the total cost of hotdogs:
\[
5 \times 1.79 = 8.95
\]
2. Calculate the total cost of salads:
\[
4 \times 4.01 = 16.04
\]
3. Calculate the total cost of all items:
\[
8.95 + 16.04 = 24.99
\]
4. Calculate the total amount of money Tom paid with (3 $10 bills):
\[
3 \times 10 = 30
\]
5. Calculate the change Tom received:
\[
30 - 24.99 = 5.01
\]
#### Answer:
\[
\boxed{5.01}
\]
---
Keith paid $8.44 each for 5 lizard toys, and got 5 cages for $8.45 each with 5 $20 bills. How much change did Keith receive?
#### Step-by-Step Solution:
1. Calculate the total cost of lizard toys:
\[
5 \times 8.44 = 42.20
\]
2. Calculate the total cost of cages:
\[
5 \times 8.45 = 42.25
\]
3. Calculate the total cost of all items:
\[
42.20 + 42.25 = 84.45
\]
4. Calculate the total amount of money Keith paid with (5 $20 bills):
\[
5 \times 20 = 100
\]
5. Calculate the change Keith received:
\[
100 - 84.45 = 15.55
\]
#### Answer:
\[
\boxed{15.55}
\]
---
For his car, Jason paid $91.48 per speaker for 3 speakers and $92.55 per tire for 5 tires with 8 $100 bills. How much did Jason get in change?
#### Step-by-Step Solution:
1. Calculate the total cost of speakers:
\[
3 \times 91.48 = 274.44
\]
2. Calculate the total cost of tires:
\[
5 \times 92.55 = 462.75
\]
3. Calculate the total cost of all items:
\[
274.44 + 462.75 = 737.19
\]
4. Calculate the total amount of money Jason paid with (8 $100 bills):
\[
8 \times 100 = 800
\]
5. Calculate the change Jason received:
\[
800 - 737.19 = 62.81
\]
#### Answer:
\[
\boxed{62.81}
\]
---
On Monday, Sandy paid $13.01 each on two tickets to a movie theater. She also borrowed 2 movies for $6.17 each. Sandy paid with 2 $20 bills. How much change did Sandy receive?
#### Step-by-Step Solution:
1. Calculate the total cost of movie tickets:
\[
2 \times 13.01 = 26.02
\]
2. Calculate the total cost of borrowed movies:
\[
2 \times 6.17 = 12.34
\]
3. Calculate the total cost of all items:
\[
26.02 + 12.34 = 38.36
\]
4. Calculate the total amount of money Sandy paid with (2 $20 bills):
\[
2 \times 20 = 40
\]
5. Calculate the change Sandy received:
\[
40 - 38.36 = 1.64
\]
#### Answer:
\[
\boxed{1.64}
\]
---
Jason bought some toys. He bought 2 marbles for $8.87 each, and got 3 games at $12.90 per game with 3 $20 bills. How much change from the purchase?
#### Step-by-Step Solution:
1. Calculate the total cost of marbles:
\[
2 \times 8.87 = 17.74
\]
2. Calculate the total cost of games:
\[
3 \times 12.90 = 38.70
\]
3. Calculate the total cost of all items:
\[
17.74 + 38.70 = 56.44
\]
4. Calculate the total amount of money Jason paid with (3 $20 bills):
\[
3 \times 20 = 60
\]
5. Calculate the change Jason received:
\[
60 - 56.44 = 3.56
\]
#### Answer:
\[
\boxed{3.56}
\]
---
1. \(\boxed{6.07}\)
2. \(\boxed{10.87}\)
3. \(\boxed{232.80}\)
4. \(\boxed{6.25}\)
5. \(\boxed{2.92}\)
6. \(\boxed{5.01}\)
7. \(\boxed{15.55}\)
8. \(\boxed{62.81}\)
9. \(\boxed{1.64}\)
10. \(\boxed{3.56}\)
---
Problem 1:
Mary loves eating fruits. Mary paid $7.98 for each of 2 berries, and $5.99 for each of 3 peaches with 2 $20 bills. How much change did Mary receive?
#### Step-by-Step Solution:
1. Calculate the total cost of berries:
\[
2 \times 7.98 = 15.96
\]
2. Calculate the total cost of peaches:
\[
3 \times 5.99 = 17.97
\]
3. Calculate the total cost of all items:
\[
15.96 + 17.97 = 33.93
\]
4. Calculate the total amount of money Mary paid with (2 $20 bills):
\[
2 \times 20 = 40
\]
5. Calculate the change Mary received:
\[
40 - 33.93 = 6.07
\]
#### Answer:
\[
\boxed{6.07}
\]
---
Problem 2:
Joan went to the mall on Saturday for clothes. She paid $13.37 each for 3 jackets and $14.51 each for 2 shorts with 4 $20 bills. How much money did Joan get in change?
#### Step-by-Step Solution:
1. Calculate the total cost of jackets:
\[
3 \times 13.37 = 40.11
\]
2. Calculate the total cost of shorts:
\[
2 \times 14.51 = 29.02
\]
3. Calculate the total cost of all items:
\[
40.11 + 29.02 = 69.13
\]
4. Calculate the total amount of money Joan paid with (4 $20 bills):
\[
4 \times 20 = 80
\]
5. Calculate the change Joan received:
\[
80 - 69.13 = 10.87
\]
#### Answer:
\[
\boxed{10.87}
\]
---
Problem 3:
Nancy joined school band. She bought 4 violins at $37.82 per violin, and 2 song books which were $7.96 each with 4 $100 bills. How much change was Nancy given?
#### Step-by-Step Solution:
1. Calculate the total cost of violins:
\[
4 \times 37.82 = 151.28
\]
2. Calculate the total cost of song books:
\[
2 \times 7.96 = 15.92
\]
3. Calculate the total cost of all items:
\[
151.28 + 15.92 = 167.20
\]
4. Calculate the total amount of money Nancy paid with (4 $100 bills):
\[
4 \times 100 = 400
\]
5. Calculate the change Nancy received:
\[
400 - 167.20 = 232.80
\]
#### Answer:
\[
\boxed{232.80}
\]
---
Problem 4:
Tom purchased 5 football games for $10.88 each, and 5 Pokemon games for $11.87 each with 6 $20 bills. How much change did Tom get?
#### Step-by-Step Solution:
1. Calculate the total cost of football games:
\[
5 \times 10.88 = 54.40
\]
2. Calculate the total cost of Pokemon games:
\[
5 \times 11.87 = 59.35
\]
3. Calculate the total cost of all items:
\[
54.40 + 59.35 = 113.75
\]
4. Calculate the total amount of money Tom paid with (6 $20 bills):
\[
6 \times 20 = 120
\]
5. Calculate the change Tom received:
\[
120 - 113.75 = 6.25
\]
#### Answer:
\[
\boxed{6.25}
\]
---
Problem 5:
Nancy bought 2 packs of basketball cards for $3.78 each, and 4 decks of baseball cards for $7.38 each with 2 $20 bills. How much change did Nancy get?
#### Step-by-Step Solution:
1. Calculate the total cost of basketball cards:
\[
2 \times 3.78 = 7.56
\]
2. Calculate the total cost of baseball cards:
\[
4 \times 7.38 = 29.52
\]
3. Calculate the total cost of all items:
\[
7.56 + 29.52 = 37.08
\]
4. Calculate the total amount of money Nancy paid with (2 $20 bills):
\[
2 \times 20 = 40
\]
5. Calculate the change Nancy received:
\[
40 - 37.08 = 2.92
\]
#### Answer:
\[
\boxed{2.92}
\]
---
Problem 6:
Tom bought 5 hotdogs and paid $1.79 for each. Then, Tom bought 4 salads for $4.01 each with three $10 bills. What was the change from the purchase?
#### Step-by-Step Solution:
1. Calculate the total cost of hotdogs:
\[
5 \times 1.79 = 8.95
\]
2. Calculate the total cost of salads:
\[
4 \times 4.01 = 16.04
\]
3. Calculate the total cost of all items:
\[
8.95 + 16.04 = 24.99
\]
4. Calculate the total amount of money Tom paid with (3 $10 bills):
\[
3 \times 10 = 30
\]
5. Calculate the change Tom received:
\[
30 - 24.99 = 5.01
\]
#### Answer:
\[
\boxed{5.01}
\]
---
Problem 7:
Keith paid $8.44 each for 5 lizard toys, and got 5 cages for $8.45 each with 5 $20 bills. How much change did Keith receive?
#### Step-by-Step Solution:
1. Calculate the total cost of lizard toys:
\[
5 \times 8.44 = 42.20
\]
2. Calculate the total cost of cages:
\[
5 \times 8.45 = 42.25
\]
3. Calculate the total cost of all items:
\[
42.20 + 42.25 = 84.45
\]
4. Calculate the total amount of money Keith paid with (5 $20 bills):
\[
5 \times 20 = 100
\]
5. Calculate the change Keith received:
\[
100 - 84.45 = 15.55
\]
#### Answer:
\[
\boxed{15.55}
\]
---
Problem 8:
For his car, Jason paid $91.48 per speaker for 3 speakers and $92.55 per tire for 5 tires with 8 $100 bills. How much did Jason get in change?
#### Step-by-Step Solution:
1. Calculate the total cost of speakers:
\[
3 \times 91.48 = 274.44
\]
2. Calculate the total cost of tires:
\[
5 \times 92.55 = 462.75
\]
3. Calculate the total cost of all items:
\[
274.44 + 462.75 = 737.19
\]
4. Calculate the total amount of money Jason paid with (8 $100 bills):
\[
8 \times 100 = 800
\]
5. Calculate the change Jason received:
\[
800 - 737.19 = 62.81
\]
#### Answer:
\[
\boxed{62.81}
\]
---
Problem 9:
On Monday, Sandy paid $13.01 each on two tickets to a movie theater. She also borrowed 2 movies for $6.17 each. Sandy paid with 2 $20 bills. How much change did Sandy receive?
#### Step-by-Step Solution:
1. Calculate the total cost of movie tickets:
\[
2 \times 13.01 = 26.02
\]
2. Calculate the total cost of borrowed movies:
\[
2 \times 6.17 = 12.34
\]
3. Calculate the total cost of all items:
\[
26.02 + 12.34 = 38.36
\]
4. Calculate the total amount of money Sandy paid with (2 $20 bills):
\[
2 \times 20 = 40
\]
5. Calculate the change Sandy received:
\[
40 - 38.36 = 1.64
\]
#### Answer:
\[
\boxed{1.64}
\]
---
Problem 10:
Jason bought some toys. He bought 2 marbles for $8.87 each, and got 3 games at $12.90 per game with 3 $20 bills. How much change from the purchase?
#### Step-by-Step Solution:
1. Calculate the total cost of marbles:
\[
2 \times 8.87 = 17.74
\]
2. Calculate the total cost of games:
\[
3 \times 12.90 = 38.70
\]
3. Calculate the total cost of all items:
\[
17.74 + 38.70 = 56.44
\]
4. Calculate the total amount of money Jason paid with (3 $20 bills):
\[
3 \times 20 = 60
\]
5. Calculate the change Jason received:
\[
60 - 56.44 = 3.56
\]
#### Answer:
\[
\boxed{3.56}
\]
---
Final Answers:
1. \(\boxed{6.07}\)
2. \(\boxed{10.87}\)
3. \(\boxed{232.80}\)
4. \(\boxed{6.25}\)
5. \(\boxed{2.92}\)
6. \(\boxed{5.01}\)
7. \(\boxed{15.55}\)
8. \(\boxed{62.81}\)
9. \(\boxed{1.64}\)
10. \(\boxed{3.56}\)
Parent Tip: Review the logic above to help your child master the concept of word problems of multiplication.