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.
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.