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Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind of coin does she have.

 Apr 1, 2021
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We have two equations to solve this problem.

 

Let's call the number of dimes "d" and the number of quarters "q"

 

\(d+q=100\)

\(0.1d+0.25q=21.4\)

\(0.1(100-q)+0.25q=21.4\)

\(10-0.1q+0.25q=21.4\)

\(0.15q+10=21.4\)

\(0.15q=11.4\)

\(q=76\)

\(d=24\)

 

There are 76 quarters and 24 dimes.

 Apr 1, 2021

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