Question

Problem 3: The elevator at a business center has a weight limit of 1800 pounds. Assume the
average person weighs 160 pounds and has 3 pounds of items with them. What is the greatest
number of people that can ride the elevator at one time?
Answer
10
11
12
13

Answer 1

○=> Correct option :

$\color{plum}\bold{(b) \: 11}$

○=> Steps to derive correct option :

Weight limit of an elevator = 1800 pounds

Average weight of each person who comes in the elevator = 160 pounds

Quantity of items with them = 3 pounds

Let the number of people who can ride the elevator at one time be x.

Which means :

$=\tt 160x + 3 = 1800$

$= \tt160x = 1800 - 3$

$= \tt160x = 1797$

$=\tt x = \frac{1797}{160}$

$=\tt x = 11$

Thus, number of people who can enter the elevator is 11.

▪︎Therefore, the correct option is (b) 11.