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

Answer:

Trent has 6 quarters and 5 dimes.

Step-by-step 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.