benny the carhop has 2 times as many dimes as quarters. if benny has $41.85 worth of dimes and quarters combined how many quarters does he have?

Question

how many quarters does beeny have.

Answer 1

let q = quarters and d = dimes.

Here's what we know:

2q = d (twice the number of dimes than quarters)

.25q + .1d = 41.85 (total money is $41.85)

 

We have a value for a variable, so let's put that in:

.25q + .1(2q) = 41.85

.25q + .2q = 41.85

.45q = 41.85

Divide both sides by .45:

q = 93

 

93 * 2 = d

186 = d

 

check

.25 * 93 + .1 * 186 = 41.85

23.25 + 18.6 = 41.85

41.85 = 41.85