Band students at Campbell High School sell candy every year as a fundraiser. Last year, they sold 77 boxes of truffles and 82 boxes of peanut brittle, raising a total of $641. This year, they sold 77 boxes of truffles and 54 boxes of peanut brittle, from which they raised $501. How much does the band earn from each item?
The band earns $__ from each box of truffles and $__ from each box of peanut brittle.
The band earns 17 dollars from each box of truffes and 8 dollars from each box of peanut brittle.
Let the cost of 1 box of truffles == T
Let the cost of 1 box of peanut brittles == P
77T + 82P ==641.......................(1)
77T + 54P ==501.......................(2), solve for T, P
Use substitution to get:
T ==$3 - cost of 1 box of truffles, which is what the Band earns.
P ==$5 - cost of 1 box of peanut brittle, which is what the Band earns