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Delivery truck is transporting boxes of 2 sizes:large boxes weigh 60 pounds each, and the small boxes weigh 30 pounds each. There are 125 boxes in all. If the truck is carrying a total of 5700 pounds in boxes. How many of each type of box is it carrying

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sqdancefan

Answer:

  • 65 60-pound boxes
  • 60 30-pound boxes

Step-by-step explanation:

If all were 30-pound boxes, the total weight would be 30·125 = 3750 pounds. The actual weight is 5700-3750 = 1950 pounds more than that. Each 60-pound box that replaces a 30-pound box increases the weight by 30 pounds, so there must have been 1950/30 = 65 such replacements.

The truck is carrying 65 60-pound boxes and 60 30-pound boxes.

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