Problem page a delivery truck is transporting boxes of two sizes: large and small. the large boxes weigh 45 pounds each, and the small boxes weigh 15 pounds each. there are 120 boxes in all. if the truck is carrying a total of 3300 pounds in boxes, how many of each type of box is it carrying?

Question

Damarion Lucas

Mathematics

22 June, 00:11

Problem page a delivery truck is transporting boxes of two sizes: large and small. the large boxes weigh 45 pounds each, and the small boxes weigh 15 pounds each. there are 120 boxes in all. if the truck is carrying a total of 3300 pounds in boxes, how many of each type of box is it carrying?

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Answers (1)

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Alyssa · Answer 1

S = number of small boxes

l = number of large boxes

equation 1: s+l=120

equation 2: 15s+45l=3300

solve by elimination, multiply equation 1 by - 15.

-15 (s+l=120) = - 15s-15l=-1800 add to equation 2.

-15s+15s-15l+45l=-1800+3300 = 30l=1500

30l=1500, l=50

s+l=120, s+50=120 - - > s=70