Kendra has $6.60 in dimes and quarters. If she has 4 times as many quarters as dimes, how many of each coin does she have?

Answer 1

The main equation you are given is that you have 4 times as many quarters as dimes. Therefore, the number of quarters you have (Q) is equal to the number of dimes you have (D) times 4.

Q = 4D

The value of each Q is 0.25 and the value of each D is 0.10. You can input that information into another equation to see how many of each coin will value up to 6.60.

0.25Q + 0.10D = 6.60

Plug in your first equation (Q= 4D) into your second equation (0.25Q + 0.10D = 6.60) to solve for D.

0.25(4D) + 0.10D = 6.60

D + 0.10D = 6.60

1.10D = 6.60

D = 6

Then plug your value for D back into you first equation to solve for Q.

Q = 4(6)

Q = 24

Calculate to double check you answer.

6 dimes = 0.60

24 quarters = 6.00

0.60 + 6.00 = 6.60

Therefore, you have 6 dimes and 24 quarters.