Problema Solution
betty and joe have a jar containing 80 coins, all of which are either quarters or nickels. The total value is $14.60. 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, n>0, n is integer
q = the number of quarters, q>0, q is integer
betty and joe have a jar containing 80 coins:
n + q = 80
the total value is $14.60 = 1460 cents:
5n + 25q = 1460
by solving the system of equations:
n + q = 80
5n + 25q = 1460
we find:
n = 27 nickles
q = 53 quarters
click here to see the step by step solution of the system of equations:
Betty and Joe have 27 nickles and 53 quarters.