Coin Problems

You have two times as many dimes as nickels and the total amount of money is $3.00. How many dimes and nickels do you have?

• 10 nickels, 20 dimes

• 12 nickels, 24 dimes

• 15 nickels, 30 dimes

• 18 nickels, 36 dimes

A jar has twenty-three coins consisting of dimes and nickels. The total amount of money is $1.90. How many dimes and nickels are there?

• 15 nickels, 8 dimes

• 12 nickels, 11 dimes

• 10 nickels, 13 dimes

• 8 nickels, 15 dimes

Suppose you bought 20 stamps consisting of 42-cent stamps and 24-cent stamps. If the stamps cost $6.24, how many of each stamp did you purchase?

• 12 42-cent stamps, 8 24-cent stamps

• 8 42-cent stamps, 12 24-cent stamps

• 15 42-cent stamps, 5 24-cent stamps

• 10 42-cent stamps, 10 24-cent stamps

You have five times as many quarters as nickels and the total amount of money is $9.10. How many quarters and nickels do you have?

• 15 nickels, 75 quarters

• 12 nickels, 60 quarters

• 10 nickels, 50 quarters

• 7 nickels, 35 quarters

Suppose you bought 40 stamps consisting of 18-cent stamps and 32-cent stamps. If the stamps cost $10.56, how many of each stamp did you purchase?

• 20 18-cent stamps, 20 32-cent stamps

• 18 18-cent stamps, 22 32-cent stamps

• 22 18-cent stamps, 18 32-cent stamps

• 16 18-cent stamps, 24 32-cent stamps

Suppose you bought 60 stamps consisting of 15-cent stamps and 36-cent stamps. If the stamps cost $14.88, how many of each stamp did you purchase?

• 15-cent stamps: 32; 36-cent stamps: 28

• 15-cent stamps: 30; 36-cent stamps: 30

• 15-cent stamps: 35; 36-cent stamps: 25

• 15-cent stamps: 40; 36-cent stamps: 20

Jack and Betty have 28 coins that are nickels and dimes. If the value of the coins is $1. 95 cents, how many nickels do they have?

He and I have 28 coins that are nickels and dimes. If the value of the coins is $1. 95 cents, how many dimes do we have?

Joe has dimes and nickels in his piggy bank totaling $1.45. The number of nickels he has is 5 more than twice the number of dimes, d. Which equation could be used to find the number of dimes he has?

• 0.10d + 0.05(2d + 5) = 1.45

• 1. 0.10(2d + 5) + 0.05d = 1.45

• 1. d + (2d + 5) = 1.45

• 1. (d − 5) + 2d = 1.45

Answer explanation

The number of nickels he has can be represented by 2d + 5, where d represents the amount of dimes. 

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• Let d = the amount of dimes

• Let  2d + 5 = the amount of nickels

Since dimes are worth $0.10,  multiply the number of dimes by 0.10 to find their value.

Since nickels are worth $0.05, multiply the number of nickels by 0.05 to find their value.

The value of the dimes plus the value of the nickels equals 1.45.

The equation that could be used to find the number of dimes he has is 0.10d + 0.05(2d + 5) = 1.45.

Byron has 72 coins in his coin jar. The coin jar contains only dimes and quarters. If he has $14.70 in his coin jar, which equation can be used to determine q, the number of quarters he has?

• 1. 14.70 + 0.25q = 72

• 1. 0.10(q - 72) + 0.25q = 14.70

• 0.10(72 - q) + 0.25q = 14.70

• 1. 0.10q + 0.25(72 - q) = 14.70

Answer explanation