A delivery truck is transporting boxes of two sizes large and small: the combined weight of a large box and a small box is 90 pounds. The truck is transporting 70 large boxes and 50 small boxes if the truck is carrying a Total of 5600 pounds in boxes how much does each type of box weigh ?

Large box weight is 55 pounds

Small box weight is 35 pounds

Step-by-step explanation:

Let large box weight = x

Let small box weight = y

The combined weight of a large box and a small box is 90 pounds =>

x+y =90

y = 90 - x

70x + 50y = 5600

70x + 50(90 - x) = 5600

70x + 4500 - 50x = 5600

70x - 50x = 5600 - 4500

20x = 1100

x = 55

y = 90 - 55

y = 35

Large box weight = 55 pounds

Small box weight = 35 pounds

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