SOLUTION: 1. Kevin and randy Muise have a jar containing 70 coins. All of which are either quarters or nickels. The total value of the coins in the jar is $10.90. How many of each type of co
Question 1054006: 1. Kevin and randy Muise have a jar containing 70 coins. All of which are either quarters or nickels. The total value of the coins in the jar is $10.90. How many of each type of coin do they have?
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Kevin and randy Muise have a jar containing 70 coins. All of which are either quarters or nickels.
The total value of the coins in the jar is $10.90. How many of each type of coin do they have?
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I will show you how to solve this coin problem by reducing it to one single equation in one unknown.
Let n = the number of nickels.
Then the number of quarters is (70-n).
The nickels value is 5n.
The quarters value is 25*(70-n).
The "total value equation" is
5n + 25*(70-n) = 1090 (written in cents).
5n + 1750 - 25n = 1090,
-20n = 1090 - 1750,
-20n = -660,
n = = 33. There are 33 nickels.
And 70-33 = 37 quarters.
Check. 5*33 + 25*37 = 1090. Correct!
Answer. 33 nickels and 37 quarters.
