SOLUTION: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 65 large boxes and

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Question 1168055: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 65 large boxes and 70 small boxes. If the truck is carrying a total of 5325 pounds in boxes, how much does each type of box weigh?
Smaller box-
Large box-

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the weight of a small box (in pounds).  The the weight of the large box is (80-x) lbs.


The total weight equation is

   65(80-x) + 70x = 5325


From the equation,


    x = %285325-65%2A80%29%2F%2870-65%29 = 25.


ANSWER.  The weight of the small box is 25 lbs; of the large box 80-25 = 55 lbs.

Solved.