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 b
oxes. 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
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.
