Question

A Sum of $14 is made of 92 coins consisting of dimes and quarters. How Many are there of each kind of coin

Answer 1

So first I would say, what if all of them were dimes, how far away would it be from $14?

So 92 coins * 10 cents = $9.20

So it's 4.80 dollars away from 14 dollars.

So if we were to switch one to a quarter, it would increase by 0.15 cents.

So we want to see how many increases we need to reach 4.80 dollars more.

4.80/0.15 = 32

So there are 32 quarters and 60 dimes.

Answer 2

There are 60 dimes and 32 quarters.

Given that a sum of $ 14 is made of 92 coins consisting of dimes and quarters, to determine how many are there of each kind of coin, the following calculation must be performed:

• 0.10 x 92 + 0.25 x 0 = 9.20
• 0.10 x 72 + 0.25 x 20 = 12.20
• 0.10 x 52 + 0.25 x 40 = 15.20
• 0.10 x 62 + 0.25 x 30 = 13.70
• 0.10 x 60 + 0.25 x 32 = 14

Therefore, there are 60 dimes and 32 quarters.

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