Question

Brandon has a jar of quarters and dimes with a total value of $7.05. The number of quarters is 3 less than twice the number of dimes. How many quarters and how many dimes does Brandon have?

Number of quarters =

Number of dimes =

Answer 1

• quarters: 23
• dimes: 13

Explanation:

Let d represent the number of dimes. Then the number of quarters is 2d-3 and the total value of the coins is ...

0.10d + 0.25(2d-3) = 7.05

0.60d -0.75 = 7.05 . . . . . . . simplify

d = (7.05 +0.75)/0.60 = 13 . . . . add 0.75, divide by 0.60

2d-3 = 2·13 -3 = 23

Brandon has 23 quarters and 13 dimes.