Problema Solution
Suppose Tom has 26 coins totaling $4.40. 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 26 coins
q + d = 26
totaling $4.40
0.25q + 0.10d = 4.40 divide both sides by 0.05
5q + 2d = 88
by solving the system of equations
q + d = 26
5q + 2d = 88
we find
q = 12 quarters
d = 14 dimes
click here to see the step by step solution of the system of equations
Tom has 12 quarters and 14 dimes.