Problema Solution
Kevin and Randy Muise have a jar containing 74 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $11.90 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 74 coins
n + q = 74
the total value of the coins is $11.90 = 1190 cents
5n + 25q = 1190 divide both sides by 5
n + 5q = 238
by solving the system of equations
n + q = 74
n + 5q = 238
we find
n = 33 nickles
q = 41 quarters
click here to see the step by step solution of the system of equations
Kevin and Randy Muise have 33 nickles and 41 quarters.