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 consisting of quarters and dimes
q + d = 60
the coins combined value is $9.45 = 945 cents
25q + 10d = 945 divide both sides by 5
5q + 2d = 189
by solving the system of equations
q + d = 60
5q + 2d = 189
we find
q = 23 quarters
d = 37 dimes
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