A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 40 pounds each, and the small boxes weigh 20pounds each. There are 105 boxes in all. If the truck is carrying a total of 3100 pounds in boxes, how many of each type of box is it carrying?

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Asked Oct 2, 2019
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A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 40 pounds each, and the small boxes weigh 20pounds each. There are 105 boxes in all. If the truck is carrying a total of 3100 pounds in boxes, how many of each type of box is it carrying?

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Expert Answer

Step 1

It is given that the large boxes weigh 40 pounds each, and the small boxes weigh 20pounds each in a total of 105 boxes. Also, truck is carrying a total of 3100 pounds in boxes.

Step 2

Let x denote the number of large boxes and y denote the number of small boxes. Hence,

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x +y = 1 15 40x 20y 3100

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Step 3

Solve the above set of equations and obtain the value...

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y = 75,x 40

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