Question

PLEASE HELP!!

A piggy bank contains nickels and quarters. There are a
total of 64 coins in the bank with a total value of $8.60.
How many of each type of coin are there in the piggy
bank?

Answer 1

27 quarters and 37 nickels

Explanation:

Nickels are 5¢

Quarters are 25¢

$8.60 is 172 nickels (860/5)

$8.60 is 34.4 quarters (860/25)

So then let's split it half-and-half.

425 and 435

425 would become 17 quarters.

435 would become 87 nickels.

This is still too much.

Now let's try 700 and 160.

700 would become 28 quarters

160 would become 32 nickels.

28+32=60.

This is a lot closer.

So now 27 quarters and 37 nickels. This works.