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Eric has a jar of quarters and dimes. He had 48 coins in the jar. The total value of the coins is $7.35. How many quarters are.in the jar?

 

Please help, I'm bad at word problems.

 Aug 26, 2020
 #1
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Let the number of quarters equal q, and the number of dimes equal d.

 

We can say that:

q + d = 48

0.25q + 0.1d = 7.35

 

By using the method of substitution (nothing to do with sub sandwiches, though I would really like one right now), we can say that:

d = 48 - q

 

Plug that into the second equation:

0.25q + 0.1(48 - q) = 7.35

0.25q + 4.8 - 0.1q = 7.35

0.15q + 4.8 = 7.35

0.15q = 2.55

q = 17

 

Therefore, there were 17 quarters.

 

:)

 Aug 26, 2020
edited by ilorty  Aug 26, 2020

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