Kevin and Randy Muise have a jar containing 76 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $13.60. How many of each type of coin do they have?

Question

Mathematics

Juliet Alvarez

1 February, 19:56

Kevin and Randy Muise have a jar containing 76 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $13.60. How many of each type of coin do they have?

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Answers (1)

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Jane Haynes · Answer 1

Answer: 49 quarters and 27 nickels.

Step-by-step explanation:

This answer can be calculated by trial and error. If you have 76 coins and they are all quarters you would have $19.00, much more than the $13.60 you are looking for.

Next, I tried if there was $12.00 in quarters, which would be 48 quarters. 76 total coins - 48 quarters means that there would be 28 nickels, which is $1.40. This is a total of $13.40.

Next, I tried $12.25 in quarters, which would be 49 quarters. 76-49 = 27 nickels, which is $1.35. This is a total of $13.60, which is the correct answer.