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Band students at Newton high school so candy every year as a fundraiser last year they showed 58 boxes of truffles and 55 boxes of peanut brittle freezing a total of $510 this year they sold 99 boxes of truffles in 55 boxes of peanut brittle from which they raised $715 how much does the band earn from each item

 Feb 18, 2020
 #1
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Let T  = price of  a box of truffles

 

Let P = priceof a  box of peanut brittle

 

So

 

58T  + 55P = 510

99T + 55P  = 715     subtract the first equation fro the second

 

41T  = 205      divide both sides by 41

 

T = 5  ( each box of truffles  = $5 )

 

And  using either  equation....

 

99 (5)  + 55P  = 715

 

495  +  55P  =715     subtract  495  from both sides

 

55P  = 220   divide  both sides by  55

 

P = 4 ( each box of  peanut brittle  = $4 ) 

 

 

cool cool cool

 Feb 18, 2020

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