Question

Susan has $1.60 in change in her

purse. If she has an equal number of nickels,
dimes, and quarters, how many of each does
she have?

Answer 1

She had 4 of each coin

Explanation:

The values of dimes, quarters, and nickels are 10 cents, 25 cents, and 5 cents, respectively.

Since we have the same number of each coin, we can set up the equation:

`0.10C + 0.25C + 0.05C = 1.60`

We can multiply both sides by 100 for simplicity

`10C + 25C + 5C = 160\\40C = 160\\C = 4`

She had 4 of each.

Check:

0.10(4) + 0.25(4) + 0.05(4) =

.40 + 1 + .2 =

1.6

It checks out