Problema Solution
Kevin and Randy Muise have a jar containing 66 coins, all of which are quarters and nickles. The total value of the coins is $13.30. How many of each type of coin do they have?
Answer provided by our tutors
1 nickle = 5 cents
1 quarter = 25 cents
let
n = the number of nickels
q = the number of quarters
Kevin and Randy Muise have a jar containing 66 coins
n + q = 66
the total value of the coins is $13.30 = 1330 cents
5n + 25q = 1330 divide both sides by 5
n + 5q = 266
by solving the system of equations
n + q = 66
n + 5q = 266
we find
n = 16 nickles
q = 50 quarters
click here to see the step by step solution of the system of equations
Kevin and Randy Muise have 16 nickles and 50 quarters.