Question

#7: Five containers, each weighing the same amount, were placed on a 30-pound

platform. The platform and containers were lifted onto a train car. The maximum weight

that can be lifted by the cable is 780 pounds. Which inequality represents the possible

weight of one container, x, on the platform?

A. x < 130

B. x < 150

C. x < 156

D. x < 162

Answer 1

Option (B)

Explanation:

Let the weight of one container = x pounds

Therefore, weight of 5 containers = 5x pounds

Weight of the platform = 30 pounds

Total weight of the platform and containers = (5x + 30) pounds

If the maximum weight that can be lifted by the cable = 780 pounds

Inequality representing this situation will be,

(5x + 30) < 780

5x < 780 - 30

5x < 750

x < 150

Therefore, Option (B) is the answer.