Problema Solution
Kelly has 36 coins in her purse, only nickels and quarters. She has eight more quarters than nickels. If she had a total of $6.20, how many nickels and quarters does she have?
Answer provided by our tutors
1 nickle = 5 cents
1 quarter = 25 cents
let
n = the number of nickles, n>0
q = the number of quarter, q>0
Kelly has 36 coins in her purse, only nickels and quarters:
n + q = 36
She has eight more quarters than nickels:
q = n + 8
by solving the system of equations:
n + q = 36
q = n + 8
we find:
n = 14 nickles
q = 22 quarters
click here to see the step by step solution of the system of equations:
the total money she has is:
5*14 + 15*22 = 400 cents = $40
thus she can not have a total of $6.20 in her purse.