Problema Solution
If Brendan has 13 quarters and nickels in his pocket, and they have a combined value of 205 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
Brendan has 13 quarters and nickels in his pocket:
n + q = 13
and they have a combined value of 205 cents:
5n + 25q = 205
by solving the system of equations:
n + q = 13
5n + 25q = 205
we find:
n = 6 nickles
q = 7 quarters
click here to see the step by step solution of the system of equations:
Brendan has 6 nickles and 7 quarters.