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?

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.

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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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?