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I delivery truck is transporting a box of two sizes large and small the large boxes weigh 50 pounds each and a small box is weigh 15 pound each There are 120 boxes in all If the truck is carrying a total of 3725 pounds in boxes how many boxes of each type of box is it carrying?

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sqdancefan

Answer:

  • 55 boxes of 50 pounds
  • 65 boxes of 15 pounds

Step-by-step explanation:

It works well to define a variable that represents the number of the heaviest boxes. Let's call that x. Then the number of lighter boxes is (120 -x), and the total weight is ...

  50x +15(120 -x) = 3725

  35x +1800 = 3725 . . . . . . eliminate parentheses

  35x = 1925 . . . . . . . . . . . . subtract 1800

  x = 1925/35 = 55 . . . . . . . .divide by 35; the number of 50-lb boxes

  120 -x = 65 . . . . . . . . . . . . .the number of 15-lb boxes

The truck is carrying 55 50-lb boxes and 65 15-lb boxes.

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