This sign shows when a lift is safe to use.
Total mass of people must be 480 kg or less
Fred and some other people are in the lift and their total mass
is 565 kg to the nearest 5 kg.
Fred, who has a mass of 88 kg to the nearest kg, gets out of the lift.
Is the lift now safe to use?
You must show your working and clearly state 'Yes it is safe' or 'No it is not safe'

Respuesta :

Answer:

Yes it is safe

Step-by-step explanation:

lower bound of fred's weight (88kg) = 87.5kg

upper bound of total mass (480kg) = 567.5 kg

567.5kg - 87.5kg = 480 kg

The total mass in the lift after Fred gets out is [tex]477[/tex] kg which is less than the safe limit of [tex]480[/tex] kg. So, the lift is safe to use.

Maximum mass in the lift [tex]= 480[/tex] kg.

Total mass of Fred and other people in the lift [tex]= 565[/tex] kg.

Mass of Fred, in nearest kg, [tex]= 88[/tex] kg.

Fred gets out of the lift. So, subtract the mass of Fred from the total mass in the lift.

Total mass of people in the lift [tex]= 565-88 = 477[/tex] kg, which is less than safe limit of mass in the lift.

So, the lift is safe to use now.

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