Problema Solution
kevin and randy muise have a jar containing 70 coins, all of which are either quarters or nickels. the total value of the coins in the jar is 11.30 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, n>0, n is integer
q = the number of quarters, q>0, q is integer
kevin and randy muise have a jar containing 70 coins
n + q = 70
the total value of the coins in the jar is $11.30 = 1130 cents
5n + 25q = 1130 divide both sides by 5
n + 5q = 226
by solving the system of equations
n + q = 70
n + 5q = 226
we find
n = 31 nickles
q = 39 quarters
click here to see the step by step solution of the system of equations
Kevin and Rand have 39 quarters and 31 nickles.