Problema Solution
Kim found 130 coins with a total value of $25.75. The machine accepts only quarter and dimes, find the number of quarters and dimes she emptied out of the machine?
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
let
d = the number of dimes, d>0, d is integer
q = the number of quarters, q>0, q is integer
Kim found 130 coins with a total value of $25.75 = 2575 cents:
d + q = 130
10d + 25q = 2575
by solving the above system we find:
d = 45 dimes
q = 85 quarters
click here to see the step by step solution of the system of equations:
Kim has put 45 dimes and 85 quarters into the machine.