Question

Help needed with Inequalities Word Problem Question

Answer 1

A recycling company recycles wet and dry wastes. In a week, each ton of dry waste takes 35 hours for collection and 55 hours for processing. Each ton of wet waste takes 42 hours for collection and 63 hours for processing. The company's collection workforce can work for maximum 150 hours in a week, and the processing machine can work for maximum 200 hours in a week. Let D represent the number of tons of dry waste that the company can recycle in a week and W represent the number of tons of wet waste that the company can recycle in a week. Which of the following statements best explains whether the company will be able to recycle 3 tons of dry waste and 2 tons of wet waste in a week?

Answer 2

(A) The company will be able to recycle these wastes in a week because of the system restrictions of 35D + 63W ≤ 200 and 55D + 42W ≤ 150.

(B) The company will be able to recycle these wastes in a week because of the system restrictions of 35D + 55D ≤ 150 and 42W + 63W ≤ 200.

(C) The company will not be able to recycle these wastes in a week because of the system restrictions of 35D + 42W ≤ 200 and 55D + 63W ≤ 150.

(D) The company will not be able to recycle these wastes in a week because of the system restrictions of 35D + 42W ≤ 150 and 55D + 63W ≤ 200.

Answer 3

@pooja195 Can you help? I think the answer is D

Answer 4

@Hero @mathstudent55

Answer 5

I got my answer by plugging in 3 for D and 2 for W into all of those equations into the options. The only correct equations I found out were in answer option D

Answer 6

What do you think?

Answer 7

Yeah, and those inequalities are false.
35(3) + 42(2) is not less than 150
Neither is the other one

Answer 8

You're right. I misread cause I'm stupid =(

Answer 9

Alright LOL. Thanks anyways