In a coin collection, the number of dimes is 10 less than three times the number of quarters. If the collection has 56 dimes, How many quarters are in the collection?

Question

Mathematics

Demarion

30 July, 20:10

In a coin collection, the number of dimes is 10 less than three times the number of quarters. If the collection has 56 dimes, How many quarters are in the collection?

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Answers (1)

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Brutus · Answer 1

Quarters = x

Dimes = y

y = 3x - 10; Since the collection has 56 dimes:

56 = 3x - 10

Solve for x: 3x = 66 = > x = 22

The number of quarters in the collection is 22.