SOLUTION: 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. I

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Question 1189724: 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?

Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.
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 = %284850+-+35%2A120%29%2F%2845-35%29 = 65.


ANSWER.  65 large boxes and 120-65 = 55 small boxes.


CHECK.   45*65 + 35*55 = 4850   (total weight).  ! Precisely correct !

Solved.