Problema Solution
If Lucas has 4 times as many nickels as quarters and they have a combined value of 225 cents, how many of each coin does he 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
Lucas has 4 times as many nickels as quarters:
n = 4q
they have a combined value of 225 cents:
5n + 25q = 225
by solving the system of equations:
n = 4q
5n + 25q = 225
we find:
n = 30 nickles
q = 5 quarters
click here to see the step by step solution of the system of equations:
Lucas has 30 nickles and 5 quarters.