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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.

 Nov 17, 2022
 #1
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The band earns 17 dollars from each box of truffes and 8 dollars from each box of peanut brittle.

 Nov 17, 2022
 #2
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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

 Nov 17, 2022

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