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A delivery truck Is transporting boxes of two sizes: large and small.
The large boxes weigh 45 pounds each, and the small boxes weigh 35 pounds each.
There are 120 boxes in all. If the truck is carrying a total of 4850 pounds in boxes,
how many of each type of box is it carrying?
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Let x = # of large boxes;
then the number of small boxes is (120-x).
The total weight equation is
45x + 35*(120-x) = 4850 pounds.
From the equation
x = = 65.
ANSWER. 65 large boxes and 120-65 = 55 small boxes.
CHECK. 45*65 + 35*55 = 4850 (total weight). ! Precisely correct !
Solved.