Problema Solution
A parking meter contains quarters and dimes worth $5.60. There are 41 coins in all. How many of each are there.
Answer provided by our tutors
1 dime = 10 cents = $0.10
1 quarter = 25 cents = $0.25
let
d = the number of dimes
q = the number of quarters
there are 41 coins in all
d + q = 41
the dimes and quarters are worth $5.60
0.10d + 0.25q = 5.60
by solving the system of equations
d + q = 41
0.10d + 0.25q = 5.60
we find
d = 31 dimes
q = 10 quarters
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there are 31 dime and 10 quarters in the parking meter.