Question

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 85

pounds. The truck is transporting 60
large boxes and 50
small boxes. If the truck is carrying a total of
4800 pounds in boxes, how much does each type of box weigh?

Answer 1

60x+50y=4800

x+y=85


Where x is the large box and y is the small box



x+y=85 -------> -50x-50y=-4250
60x+50y=4800
____________
10x =550

x=55

y=85-55
=30


The answer is that the large box is 55 pounds and the small box is 30 pounds.