To determine the number of packages Renna could remove from the elevator to meet the mass requirement, we can set up an inequality based on the total mass of Renna and the packages.
Let \( x \) represent the number of packages Renna removes. Each package has a mass of 37.4 kg, and the total mass of Renna and her load is currently 620 kg.
The mass limit for the elevator is 450 kg. Therefore, we can express the mass condition as:
\[ 620 - 37.4x \leq 450 \]
This inequality represents the total mass after removing \( x \) packages. Now we can solve for \( x \):
- Subtract 620 from both sides:
\[ -37.4x \leq 450 - 620 \] \[ -37.4x \leq -170 \]
- Divide both sides by -37.4 (remember to flip the inequality sign when dividing by a negative number):
\[ x \geq \frac{-170}{-37.4} \]
- Calculate the right side:
\[ x \geq \frac{170}{37.4} \approx 4.54 \]
Since \( x \) must be a whole number (because you can't remove a fraction of a package), we round up to the nearest whole number:
Thus, the final conclusion is:
\[ x \geq 5 \]
Renna must remove at least 5 packages from the elevator to meet the mass requirement.