Question

You have a jar containing 55 coins, consisting entirely of nickels and quarters, worth a

total of $7.15. How many quarters are in the jar?

Answer 1

Answer: 22 quarters

Explanation:

Let N be the number of nickels.

Then the number of quarters is (55-N)

The nickels contribute 5N cents to the total.

The quarters contribute 25*(55-N) cents to the total.

5N + 25*(55-N) = 715

5N + 1375 - 25N = 715

-20N = 715 - 1375 = -660

`N=(-660)/(-20)`

`=33`

`55-33=22`

So there is 22 quarters inside the jar.

Check to see if my answer is correct-

33*5 + 22*25 = 715 cents