A collection of coins contains a total of sixteen dimes and quarters. It is worth $2.20 in all. How many dimes are in the collection?

Question

asked Dec 18, 2022 166k views

1 Answer

Viedee · Answer 1 · 2022-12-22T15:33:28+0000

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Answer:

12 dimes

Explanation:

Let q represent the number of quarters. Then the number of dimes is 16-q and the total value is ...

0.25q +0.10(16 -q) = 2.20

0.15q +1.60 = 2.20 . . . . . . . simplify

0.15q = 0.60 . . . . . . . . subtract 1.60

q = 4 . . . . . . . . . . . divide by 0.15

16-q = 12

There are 12 dimes in the collection.