Question

Renna pushes the elevator button, but the elevator does not move. the mass limit for the elevator is \[450\] kilograms ( \[\text{kg}\]), but renna and her load of identical packages mass a total of \[620\,\text{kg}\]. each package has a mass of \[37.4\,\text{kg}\]. write an inequality to determine the number of packages, \[p\], renna could remove from the elevator to meet the mass requirement. what is the minimum whole number of packages renna needs to remove from the elevator to meet the mass requirement?

Answer 1

The mass limit for the elevator is 450 kg, but Renna and her load of identical packages have a total mass of 620 kg. Each package has a mass of 37.4 kg. The minimum whole number of packages Renna needs to remove from the elevator is 4.

Step-by-step explanation:

To determine the number of packages, p, Renna can remove from the elevator to meet the mass requirement, we need to find the maximum mass that the elevator can hold.

The mass limit for the elevator is 450 kg, but Renna and her load of identical packages have a total mass of 620 kg. Each package has a mass of 37.4 kg.

Let's write the inequality to solve for p:

37.4p <= 620 - 450

Simplifying, we have:

37.4p <= 170

Dividing both sides by 37.4, we get:

p <= 4.55

The number of packages, p, must be a whole number, so the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement is 4.