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

1 answer

Let's represent the number of packages Renna could remove as p. So, the total mass of Renna and the packages after removing p packages would be 620 - 37.4p kg.

According to the mass limit of the elevator, the total mass should be less than or equal to 450 kg. Therefore, we can write the inequality as:
620 - 37.4p ≤ 450

Now, let's solve for p:
620 - 37.4p ≤ 450
-37.4p ≤ -170
p ≥ 4.55

Since p represents the number of packages and we can't have a fraction of a package, Renna should remove at least 5 packages from the elevator to meet the mass requirement.