Problema Solution
Bob has 60 coins consisting of quarters and dimes. The coins' combined value is $9.45. Find out how many are quarters and how many are dimes?
Answer provided by our tutors
1 quarter = 25 cents = $0.25
1 dime = 10 cents = $0.10
let
q = the number of quarters
d = the number of dimes
Bob has 60 coins
q + d = 60
the coins' combined value is $9.45
0.25q + 0.10d = 9.45
by solving the system of equations
q + d = 60
0.25q + 0.10d = 9.45
we find
q = 23 quarters
d = 37 dimes
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Bob has 23 quarters and 37 dimes.