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A crane able can support a maximum load of 15,000 kg. If a bucket has a mass of2,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubicmeters of gravel can be safely lifted by the crane?

A crane able can support a maximum load of 15,000 kg. If a bucket has a mass of2,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubicm class=

Verified Answer :

MartynBH

Well so 15000-2000 leaves 13000kgs of available weight allowed. Then 13000 divided by 1500 we get around 8.67 cubicmeters of gravel to be allowed to be lifted safely.

calculista

Let

x-------> amount of cubic meters of gravel that can be safely lifted by the crane

we know that

\(15,000=2,000+1,500*x\)

Solve for x

\(15,000=2,000+1,500*x\\1,500*x=15,000-2,000\\1,500*x=13,000\\ x=(13,000/1,500)\\x=8.67\ m^{3}\)

therefore

the answer is

the amount of cubic meters of gravel that can be lifted safely by the crane cannot exceed \(8.67\ m^{3}\)

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