Iwill give  15 points 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 70 large boxes and 55 small boxes. if the truck is carrying a total of 5425 pounds in boxes, how much does each type of box weigh?

First, let's set a system of linear equations. Let x be the weight of a large box and y the weight of a small one.
x+y = 85
70x+55y=5425
Multiply the first equation by 55
55x + 55y = 4675
70x + 55y = 5425
Subtract the two equations
15x=750
Divide both sides by 15
x=50
Plug this value into x+y=85
50+y=85
y=35
The weight of a large box is 50 lb and the weight of a small one is 35 lb.

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