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2 years ago

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Mathematics

1 answer:

ivann1987 [24]2 years ago

4 0

9514 1404 393

Answer:

large: 55 lb
small: 30 lb

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...

x + y = 85 . . . . . combined weight of a large and small box

70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes

We can subtract 50 times the first equation from the second to find the weight of a large box.

(70x +50y) -50(x +y) = (5350) -50(85)

20x = 1100 . . . . simplify

x = 55 . . . . . . . divide by 20

Using this in the first equation, we can find the weight of a small box.

55 +y = 85

y = 30 . . . . . . . subtract 55

A large box weighs 55 pounds; a small box weighs 30 pounds.

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