Question

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?

Answer 1

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.

Answer 2

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)`