Question

If Trent has 11 quarters and dimes in his pocket, and they have a combined value of 200 cents, how many of each coin does he have?

Answer 1

Trent has 6 quarters and 5 dimes.

Explanation:

Consider the provided information.

Let q = Number of quarters

d = Number of dimes.

Trent has 11 quarters and dimes.

`q+d=11`

`q=11-d`

The worth of a quarter is 25 cents.

The worth of a dimes is 10 cents

`25q+10d=200`

Substitute the value of q in above equation.

`25(11-d)+10d=200`

`275-25d+10d=200`

`15d=75`

`d=5`

Substitute the value of d in
`q=11-d`

`q=11-5`

`q=6`

Hence, Trent has 6 quarters and 5 dimes.