A construction worker is sent to the store to buy more than 30 lb of roofing nails. The nails are sold in 5 lb boxes and 10 lb boxes. The number of 5 lb boxes is represented by x, and the number of 10 lb boxes is represented by y. Which inequality models this situation?

Question 1 options:

A:5x + 10y > 30

B:x + y ≥ 30

C:x + y > 30

D:5x + 10y ≥ 30

Question

Mathematics

Tabby

1 February, 11:28

A construction worker is sent to the store to buy more than 30 lb of roofing nails. The nails are sold in 5 lb boxes and 10 lb boxes. The number of 5 lb boxes is represented by x, and the number of 10 lb boxes is represented by y. Which inequality models this situation?

Question 1 options:

A:5x + 10y > 30

B:x + y ≥ 30

C:x + y > 30

D:5x + 10y ≥ 30

+3

Answers (1)

Know the Answer?

Paloma Todd · Answer 1

The answer is A: 5x + 10y > 30. That is, the combination of boxes must be greater than 30 since the requirement is to have more than 30 lb of nails.

Step-by-step explanation:

The worker can buy a combination of boxes, as long as the total is greater than 30 lb. Multiply 5 lb by x and add that to 10 lb times y to get the total, which must exceed 30 lb.