Question

Question #b832f

Answer 1

37 quarters and 45 dimes

Explanation:

Because dimes and quarter numbers are unknown, we can use variables.
let d be dime quantity and q be quarter quantity

1 dime = 10 cents 1 quarter = 25 cents

`d + q = 82` ----82 coins in all

`0.10d+0.25q=13.75` -----in terms of cents equaling total

Here is a system of equations. Lets use substitution-

First isolate a variable
`d=82-q`
Substitute
`0.10(82-q)+0.25q=13.75`
`8.2-0.1q+0.25q=13.75`

And solve!
`q=37`

plug this in to any equation you like

`d+37=82`
`d=45`