SOLUTION: An elevator can safely hold no more than 2000 pounds. An elevator operator must take 55-pound boxes to a storage area. If he weighs 165 pounds, how many boxes can he safely move at

Question 174694: An elevator can safely hold no more than 2000 pounds. An elevator operator must take 55-pound boxes to a storage area. If he weighs 165 pounds, how many boxes can he safely move at one time?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, subtract his weight 165 lbs from 2000 lbs to get

2000 - 165 = 1835

So he has 1,835 lbs devoted to the boxes

Now simply divide that figure by 55 to find the amount of boxes

Rounding down we get 33 boxes. So you can safely place 33 boxes in the elevator

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Alternative Method:

This problem translates to the algebraic equation

where x is the number of boxes and y is the total weight that the elevator can handle

Plug in

Subtract 165 from both sides.

Subtract.

Divide both sides by 55 to isolate x.

Reduce

Divide.

Round down to get . So the elevator can safely handle 33 boxes.

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