Problema Solution
Suppose Tom has 24 coins totaling $4.05. If he has only dimes and quarters, how many of each type does he have?
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
Tom has 24 coins
q + d = 24
totaling $4.05
0.25q + 0.10d = 4.05 divide both sides by 0.05
5q + 2d = 81
by solving the system of equations
q + d = 24
5q + 2d = 81
we find
q = 11 quarters
d = 13 dimes
click here to see the step by step solution of the system of equations
Tom has 11 quarters and 13 dimes.