Question

One box is placed on a scale. A second box that is known to weigh 10 pounds less than the first box is stacked on top of the first box.

Together, the boxes weigh 48 pounds.

If w represents the weight of the first box placed on the scale, write a problem ?

Answer 1

Let w represents the weight of the first box placed on the scale and y represent the weight of the second box.

The second box weigh 10 pounds less than the first box. Hence:

y = w - 10

-w + y = -10     (1)

The two boxes weigh 48 pounds. hence:

w + y = 48       (2)

Solving both equations gives:

w = 29, y = 19

The first box weighs 29 pounds while the second box weighs 19 pounds.

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