SOLUTION: Find the total weight of the boxes of pecans in a shipment of 3 lb boxes of pecans and 2lbs boxes of walnuts. 1)there were 24 fewer 2 lb boxes of walnut than 3 lb boxes of pecans

Algebra ->  Expressions-with-variables -> SOLUTION: Find the total weight of the boxes of pecans in a shipment of 3 lb boxes of pecans and 2lbs boxes of walnuts. 1)there were 24 fewer 2 lb boxes of walnut than 3 lb boxes of pecans      Log On


   

Question 358256: Find the total weight of the boxes of pecans in a shipment of 3 lb boxes of pecans and 2lbs boxes of walnuts.
1)there were 24 fewer 2 lb boxes of walnut than 3 lb boxes of pecans.
2)the total weight of the shipment was 462 lbs.

tried: 3n + 2(n-24)=462; 3n +2n-48=462;5n -48 +48=462-48=414; 5n=414=82.8
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the total weight of the boxes of pecans in a shipment of 3 lb boxes of pecans and 2lbs boxes of walnuts.
1)there were 24 fewer 2 lb boxes of walnut than 3 lb boxes of pecans.
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Quantity Equation: w = p -24
2)the total weight of the shipment was 462 lbs
Weight Equation:
2w + 3p = 462 lbs
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2(p-24) + 3p = 462
2p-48 + 3p = 462
5p = 510
p = 102 (# of boxes of pecans)
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Since w = p-24, w = 102-24 = 78 (# of boxes of walnuts)
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Cheers,
Stan H.