Question

On a particular airline, bags checked in must weigh less than 50 pounds. Betty packed 32 pounds of clothes and five gifts that weigh the same amount. Which inequality can be used to find the possible weight, w, of each gift.

(A) x + 32 < 50
(B) 5x + 32 < 50
(C) 5 + x + 32 < 50
(D) x/5 + 32 < 50

Answer 1

5x + 32 < 50

Explanation:

On a particular airline, bags checked in must weigh less than 50 pounds. Betty packed 32 pounds of clothes and five gifts that weigh the same amount.

If each gift weighs w pounds, then the weight of five gifts will be 5w pounds and an additional 32 pounds of clothes will make it total (32 + 5w) pounds.

Now, this total weight has to be less than 50 pounds.

Therefore, the inequality equation that can be used to find the possible weight of each gift, w is

5x + 32 < 50 (Answer)