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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 75 pounds. The truck is transporting 55 large boxes and 70 small boxes. If the truck is carrying a total of 4575 pounds in boxes, how much does each type of box weigh?

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Answer:

Large box is 45 lbs. Small box is 30 lbs.

Step-by-step explanation:

a=1 large box

b= 1 small box

a + b = 75

55a + 70b = 4575

-         -         -

55a  55b      4125

        =

15b = 450

b  = 30

a + 30 = 75

-     30  -30

a = 45

a = 45

b = 30

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