Answer:
1. [tex]620-37.4p\leq 450[/tex]
2. 5 packages.
Step-by-step explanation:
Let p represent number of packages.
We have been given that each package has a mass of 37.4 kg. So mass of p packages would be [tex]37.4p[/tex].
We have been given that the mass limit for the elevator is 450 kilograms (kg), but Renna and her load of identical packages mass a total of 620 kg.
The weight of identical packages minus weight of p packages should be less than or equal to mass limit of the elevator. We can represent this information i an inequality as:
[tex]620-37.4p\leq 450[/tex]
Therefore, the inequality [tex]620-37.4p\leq 450[/tex] can be used to determine the number of packages that Renna could remove from the elevator to meet the mass requirement.
Let us solve for p.
[tex]620-620-37.4p\leq 450-620[/tex]
[tex]-37.4p\leq -170[/tex]
Divide by negative and swap the inequality sign:
[tex]\frac{-37.4p}{-37.4}\geq \frac{-170}{-37.4}[/tex]
[tex]p \geq 4.54545[/tex]
Since Renna cannot remove 0.54 of a package, therefore, the minimum whole number of packages that Renna needs to remove from the elevator would be [tex]5[/tex].
