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2 November, 20:00

A delivery truck is transporting boxes of two sizes: large and small. the combined weight of a large box and a small box is 60 pounds. the truck is transporting 65 large boxes and 70 small boxes. if the truck is carrying a total of 4000 pounds in boxes, how much does each type of box weigh?

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  1. 2 November, 20:53
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    Let a = weight of large box in pounds

    Let b = weight of small box in pounds

    (1) 65a + 70b=4000

    (2) a+b=60

    Now we can simultaneously solve these equations.

    a = 60 - b. Hence 65 (60 - b) + 70b = 4000 So 3900 + 5b = 4000 and 100 = 5b hence b = 20.

    SImilarly a = 40. Now we can verify too by putting in the calculated values.
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