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29 September, 14:00

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 65 small boxes. if the truck is carrying a total of 4425 pounds in boxes, how much does each type of box weigh?

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  1. 29 September, 14:10
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    Let a = weight of large box in pounds

    Let b = weight of small box in pounds

    (1) 65a + 55b=4425

    (2) a+b=75

    Now we can simultaneously solve these equations.

    a = 75 - b. Hence 65 (75 - b) + 55b = 4425 So 4875 - 10b = 4425 and 450 = 10b hence b = 45.

    SImilarly a = 30. Now we can verify too by putting in the calculated values.
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