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 d
imes. How many quarters and how many dimes does Brandon have?
Number of quarters =
Number of dimes =
1 answer:
Answer:
Step-by-step 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.
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