Problema Solution
Kate has four times as much money in quarters as she does in nickels. She has 27 coins in all. Assuming she has only nickels and quarters, how many of each coin does she have?
Answer provided by our tutors
let
x = the number for nickles
y = the number of quarters
1 nickle = 5 cents
1 quarter = 25 cents
1$ = 100 cents
four times as much money in quarters as she does in nickels
25*y = 4*5*x
She has 27 coins in all.
x + y =27
by solving the system of equations
x + y =27
25*y = 4*5*x
we find
x = 15 nickles
y = 12 quarters
Kate has 15 nickles and 12 quarters.