question archive An elevator at a construction site has a maximum capacity of 1640 pounds

An elevator at a construction site has a maximum capacity of 1640 pounds

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An elevator at a construction site has a maximum capacity of 1640 pounds. If the elevator operator weighs 240 pounds and each cement bag weighs 50 pounds, how many bags of cement can be safely lifted on the elevator in one trip?

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Sol: -

1640=240+50(x)

 

1640=240+50x

 

1640-240=50x

 

50x=1400

 

x=140050

 

x=28

 

 

Check:

1640=240+50(28)

 

1640=240+1400

 

1640=1640

 

True

 

Hence, 28 bags can be safely lifted.