Question

Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kg, but Renna and her load of identical packages mass a total of 620kg. Each package has a mass of 37.4kg.
Write an inequality to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.

Answer 1

Answer:

620-37.4p≤450

Step-by-step explanation:

Each package is 37.4kg, so in the equation the packages will be represented as 37.4p. Renna and the packages have a mass of 620kg, but the limit for the elevator is 450kg. Therefore their weight has to be less than or equal to 450kg. Renna must remove p packages from 620 in order to be less than or equal to 450kg.

Answer 2

Answer:

$620-37.4p\leq 450$

Step-by-step explanation:

Let p be the number of identical packages.

We have been given that each package has a mass of 37.4 kg, so weight of p packages will be 37.4p.

The total mass of Renna and her load of identical packages is 620 kg.

We have been given that the mass limit for the elevator is 450 kg. This means that Renna can remove p packages from 620 kg such that 620 minus weight of p packages will be less than or equal to 450 kg.

We can represent this information in an inequality as:

$620-37.4p\leq 450$

Therefore, the inequality $620-37.4p\leq 450$ can be used to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.