Problema Solution
Marissa has $3.90 in quarters and dimes. If she has 3 more quarters than dimes, how many of each coin does she have?
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
let
d = the number of dimes Marissa has
q = the number of quarters Marissa has
Marissa has $3.90 = 390 cents in quarters and dimes
25q + 10d = 390 divide both sides by 5
5q + 2d = 78
she has 3 more quarters than dimes
q = 3 + d
by solving the system of equations
5q + 2d = 78
q = 3 + d
we find
d = 9 dimes
q = 12 quarters
click here to see the step by step solution of the system of equations
Marissa has 9 dimes and 12 quarters.