Problema Solution
A parking meter contains dimes and quarters worth $5.05. There are 28 coins in allfind how many of each there are.
How many dimes ?
How many quarters?
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 28 coins in all
d + q = 28
the dimes and quarters are worth $5.05
0.10d + 0.25q = 5.05
by solving the system of equations
d + q = 28
0.10d + 0.25q = 5.05
we find
d = 13 dimes
q = 15 quarters
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there are 13 dimes and 15 quarters in the parking meter.