Problema Solution
if you have 925 coins and there only quarters and dimes and you have a total of 131.50 what is the total number of each coin you have.
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
let
d = the number of dimes
q = the number of quarters
you have 925 coins and there only quarters and dimes
d + q = 925
you have a total of $131.50 = 13150 cents
10d + 25q = 13150 divide both sides by 5
2d + 5q = 2630
by solving the system of equations
d + q = 925
2d + 5q = 2630
we find
d = 665 dimes
q = 260 quarters
click here to see the step by step solution of the system of equations