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 620kg. Each package has a mass of 37.4kg.
Write an inequality to determine the number of packages, ppp, Renna could remove from the elevator to meet the mass requirement.
Answers
Step-by-step explanation:
Given Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, but the current group of passengers weighs a total of 740 kilograms. Renna wants to determine how many 70-kilogram passengers need to get off the elevator. Let p represent the number of excess passengers. Write an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement.
Given P represent the number of excess passengers .
Also the elevator cannot lift more than 450 kg.
According to question we have
740 – 70 P < 450
Subtract 740 to both sides.
So 740 – 70 P – 740 < 450 – 740
-70 P < - 290
So P >29/7
The inequality sign is reversed when multiplied by negative number.
Therefore the inequality is P > 4, 14 or P > 29/7