Problema Solution
As part of a fundraiser, a local organization collected 410 returnable bottles and cans, some worth 5 cents each and the rest worth 10 cents each. If the total value of the cans and bottles was $24.75, how many 5-cent bottles or cans and how many 10-cent bottles or cans were collected?
Answer provided by our tutors
let
x = the number of 5-cent bottles and cans
y = the number of 10-cent bottles and cans
x + y = 410
0.05*x + 0.10*y = 24.75
or
x + y = 410
5x + 10y = 2475
by solving the system we find
x = 325 5-cent bottles and cans
y = 85 10-cent bottles and cans