Problema Solution
Leo has 4.80 in dimes and quarters. He has 6 more dimes than quarters. How many quarters does he have?
Answer provided by our tutors
1 quarter = 25 cents
1 dime = 10 cents
let
q = the number of quarters, q>=0, q is integer
d = the number of dimes, d>=0, d is integer
Leo has 4.80 = 480 cents in dimes and quarters
10d + 25q = 480 divide both sides by 5
2d + 5q = 96
He has 6 more dimes than quarters.
d = q + 6
by solving the system of equations:
d = q + 6
2d + 5q = 96
we find:
d = 18 dimes
q = 12 quarters
click here to see the step by step solution of the system of equations:
Leo has 12 quarters.