Question

many elevators have a capacity of 3500 pounds. complete parts (a) through (c) below. a. if the average weight of a child is 50 pounds and the average weight of an adult is 140 pounds, write an inequality that states that x number of children and y number of adults cause the elevator to be overloaded. the inequality is 3500.

Explanation:

Step1: Calculate total weight of children and adults

The total weight of $x$ children, with each child weighing 50 pounds, is $50x$ pounds. The total weight of $y$ adults, with each adult weighing 140 pounds, is $140y$ pounds. The combined weight of children and adults is $50x + 140y$ pounds.

Step2: Determine inequality for over - loading

The elevator is overloaded when the combined weight of children and adults exceeds its capacity of 3500 pounds. So the inequality is $50x+140y>3500$.

Answer:

$50x + 140y>3500$