Problema Solution
Randy has a jar containing 72 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $9.00. 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
Randy has a jar containing 72 coins, all of which are either quarters or nickels
n + q = 72
the total value of the coins in the jar is $9.00 = 900 cents
5n + 25q = 900
by solving the system of equations
n + q = 72
5n + 25q = 900
we find
n = 45 nickles
q = 27 quarters
click here to see the step by step solution of the system of equations
Randy has 45 nickles and 27 quarters.