Question

A collection of quarters and dimes is worth $12.40. There are 76 coins in all. How many of each coin are there?

Answer 1

`44` dimes and `32` quarters

Explanation:

If all the `76` coins were dimes, we would have `$7.60`

i.e. we have `$12.40-$7.60=$4.80` or `480` cents extra

Each quarter would have `25-10=15` cents more

but we have `480` cents more

so we have `480/15=32` quarters

and `76-32=44` dimes.

Check - `44` dimes is `440` cents or `$4.40` and `32` quarters are `32xx25=800` cents or `$8.00`. Hence total `$12.40`