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Money Problems with Totals Homework, Study Guides, Projects, Research of Theatre

Erika has $10.65 made up of dimes and quarters. If there are 54 coins in total, how many dimes are there? 2. A bill of $2.35 was paid in dimes and nickels.

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Money Problems with Totals Homework
1. Erika has $10.65 made up of dimes and quarters. If there are 54 coins in total, how many dimes are
there?
2. A bill of $2.35 was paid in dimes and nickels. If there were 32 coins in all, how many of each kind
were there?
3. Mary bought a radio for $120. She paid for it with 10-dollar bills and 5-dollar bills. If there are 22
bills in all, how many of each kind are there?
4. A theatre sells adult tickets for $35 and student tickets for $25. If the theatre sells a total of 73 tickets
and makes $2265, how many of each type of ticket did they sell?
5. A fruit stand sells apples and peaches. The apples sell for $0.25 each and the peaches sell for $0.50
each. On Sunday, the fruit stand sold 60 pieces of fruit and made $20.25. How many of each type of
fruit did they sell?
6. Chris deposited $4.50 in nickels, dimes and quarters into a piggy bank. The number of dimes exceeds
the number of nickels by 5 and the number of quarters is one-fifth the number of nickels. How many
of each are there?
ANSWERS:
1] 19 dimes, 35 quarters 2] 15 dimes, 17 nickels 3] 2 tens, 20 fives 4] 44 adults, 29 students 5] 39 apples, 21 peaches
6] 20 nickels, 25 dimes, 4 quarters
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Money Problems with Totals Homework

1. Erika has $10.65 made up of dimes and quarters. If there are 54 coins in total, how many dimes are

there?

2. A bill of $2.35 was paid in dimes and nickels. If there were 32 coins in all, how many of each kind

were there?

3. Mary bought a radio for $120. She paid for it with 10-dollar bills and 5-dollar bills. If there are 22

bills in all, how many of each kind are there?

4. A theatre sells adult tickets for $35 and student tickets for $25. If the theatre sells a total of 73 tickets

and makes $2265, how many of each type of ticket did they sell?

5. A fruit stand sells apples and peaches. The apples sell for $0.25 each and the peaches sell for $0.

each. On Sunday, the fruit stand sold 60 pieces of fruit and made $20.25. How many of each type of

fruit did they sell?

6. Chris deposited $4.50 in nickels, dimes and quarters into a piggy bank. The number of dimes exceeds

the number of nickels by 5 and the number of quarters is one-fifth the number of nickels. How many

of each are there?

ANSWERS:

1] 19 dimes, 35 quarters 2] 15 dimes, 17 nickels 3] 2 tens, 20 fives 4] 44 adults, 29 students 5] 39 apples, 21 peaches 6] 20 nickels, 25 dimes, 4 quarters

Exercises – Solve the following problems

1. Terry has 2 more quarters than dimes. In all, he has $6.80. How many of each kind

of coin does he have?

2. In a pile of coins worth $21.25, there are 15 more quarters than loonies. How many

quarters are there?

3. A bill of $2.35 was paid in dimes and nickels. If there are 32 coins in all, how many

of each kind were used to pay the bill?

4. Laura Maria bought a radio for $120 in $10 bills and $5 bills. If she has a total of

22 bills, how many bills of each kind does she have?

5. Kyle has $21.90 in quarters and dimes. If he has a total of 117 coins, how many of

each kind does he have?

6. Ava has $4.85 in nickels, dimes and quarters. If Ava has 6 more nickels than dimes

and twice as many quarters than dimes, how many of each kind does she have?

7. A piggy bank is full of nickels, dimes and quarters worth $3.30. If there are three

times as many nickels as quarters, and half as many dimes as nickels, how many of

each kind are there?

8. Large pizzas cost $12.50 and small pizzas cost $9.00. The pizza shop sold 38 pizzas

for a total of $415.50. How many of each kind of pizza did the pizza shop sell?

Answers

1) 18d, 20q 2) 29q 3) 15d, 17n

4) 2 – $10, 20 – $5 5) 68q, 49d

6) 7d, 13n, 14q 7) 6q, 18n, 9d

8) 21 large; 17 small

5. Kyle has $21.90 in quarters and dimes. If he has a total of 117 coins, how many of

each kind does he have?

Let x be the number of quarters [Value: 25x] Let (117 – x) be the number of dimes [Value: 10(117 – x) ]

25x + 10(117 – x) = 2190 25x + 1170 – 10x = 2190 15x = 2190 – 1170 15x = 1020 15x 1020 15 15

= There are 68 quarters and 49 dimes.

x = 68

6. Ava has $4.85 in nickels, dimes and quarters. If Ava has 6 more nickels than dimes

and twice as many quarters than dimes, how many of each kind does she have?

Let x be the number of dimes [Value: 10x] Let (x + 6) be the number of nickels [Value: 5(x + 6) ] Let 2x be the number of quarters [Value: 25(2x) ]

10x + 5(x + 6) + 25(2x) = 485 10x + 5x + 30 + 50x = 485 65x = 485 – 30 65x = 455 65x 455 65 65

= There are 7 dimes, 13 nickels and 14 quarters.

x = 7

7. A piggy bank is full of nickels, dimes and quarters worth $3.30. If there are three

times as many nickels as quarters, and half as many dimes as nickels, how many of

each kind are there?

Let x be the number of quarters [Value: 25x] Let (3x) be the number of nickels [Value: 5(3x) ] Let ½(3x) be the number of dimes [Value: 10(½(3x)) ]

25x + 5(3x) + 10(½(3x)) = 330 25x + 15x + 5(3x) = 330 25x + 15x + 15x = 330 45x = 330 45x 330 45 45

= There are 6 quarters, 18 nickels and 9 dimes.

x = 6

8. Large pizzas cost $12.50 and small pizzas cost $9.00. The pizza shop sold 38 pizzas

for a total of $415.50. How many of each kind of pizza did the pizza shop sell?

Let x be the number of large pizzas [Value: 12.50x] ( working in dollars) Let (38 – x) be the number of small pizzas [Value: 9(38 – x) ]

12.50x + 9(38 – x) = 415. 12.50x + 342 – 9x = 415. 3.50x = 73.50 They sold 21 large pizzas and 17 small pizzas. x = 21