SOLUTION: Find the total weight of the boxes of pecans in a shipment of 3 pound boxes of pecans and 2 pound boxes of walnuts. (1) There were 24 fewer 2 pound boxes of walnuts than 3 pound

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Find the total weight of the boxes of pecans in a shipment of 3 pound boxes of pecans and 2 pound boxes of walnuts. (1) There were 24 fewer 2 pound boxes of walnuts than 3 pound       Log On

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Question 160340This question is from textbook Alegbra: Structure and Method: Book 1
: Find the total weight of the boxes of pecans in a shipment of 3 pound boxes of pecans and 2 pound boxes of walnuts.
(1) There were 24 fewer 2 pound boxes of walnuts than 3 pound boxes of pecans.
(2) The total weight of the shipment was 462 pounds. This question is from textbook Alegbra: Structure and Method: Book 1

Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
3x+2(x-24)=462
3x+2x-48=462
5x=462+48
5x=510
x=510/5
x=102 boxes of pecans.
102-24=78 boxes of walnuts.
Proof:
3*102+2*78=462
306+156=462
462=462