Problema Solution
Sue took her collection of nickels and dimes to deposit in the bank. She has five fewer nickels than dimes. Her total deposit was
$61.10.
How many dimes did she deposit?
Answer provided by our tutors
let
n = number of nickles, n>0
d = the number of dimes, d>0
1 nickle = 5 cents
1 dime = 10 cents
She has five fewer nickels than dimes:
n = d - 5
Her total deposit was $61.10 = 6110 cents:
5n + 10d = 6110 divide both sides by 5
n + 2d = 1222
by solving the system of equations:
n = d - 5
n + 2d = 1222
we find:
n = 404 nickles
d = 409 dimes
click here to see the step by step solution of the system fo equations:
Sue deposited 409 dimes.