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 620 kg. Each package has a mass of 37.4 kg. Write in any quality to determine the number of packages, P, Renna removed from the elevator to meet the mass requirement.
Let's denote the number of packages Renna removes from the elevator as P. Since each package has a mass of 37.4 kg, the total mass of the packages that Renna removes is 37.4P kg.
If Renna's total mass with the packages was 620 kg, and she removes P packages, the total mass in the elevator after removing the packages should be 620 - 37.4P kg.
According to the mass limit for the elevator being 450 kg, we have:
620 - 37.4P ≤ 450
Solving for P:
620 - 37.4P ≤ 450
170 ≤ 37.4P
P ≥ 4.55
Since Renna cannot have a fraction of a package, she must remove at least 5 packages to meet the mass requirement of the elevator.