angelinasarumova angelinasarumova

22-12-2020
Mathematics

contestada

A collection of quarters and dimes has a total value of $5 and contains 32 coins. How many of each kind of coin are in the collection?

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ChoiSungHyun ChoiSungHyun

22-12-2020

Step-by-step explanation:

Let q be the number of quarters and d be the number of dimes.

We have q + d = 32 and $0.25q + $0.10d = $5.

=> 5q + 2d = 100 and q + d = 32

Therefore we get q = 12 and d = 20. (12 quarters and 20 dimes)

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