Question

Marco is ordering salt, which is only sold in 30-pound bags. He currently has 75 pounds of salt, and he needs to have a minimum of 200 pounds. Which of the following inequalities shows all possible values for the number of bags, b, that Marco needs to order to meet his minimum requirement?

A) b≥ 4
B) b≥ 5
C) b≥ 6
D) b≥ 7

Answer 1

option b.Marco needs to order at least 5 bags of salt to meet the minimum requirement of 200 pounds because he currently has only 75 pounds, and the salt is sold in 30-pound bags.

Step-by-step explanation:

The question is asking to determine the inequality that represents the number of 30-pound bags of salt Marco needs to order to reach a minimum of 200 pounds, given that he currently has 75 pounds.

To find the answer, we need to calculate how many more pounds of salt Marco needs to reach the 200-pound minimum. This is done by subtracting the amount he already has (75 pounds) from the minimum required amount (200 pounds), which is 200 - 75 = 125 pounds needed.

Since the salt is only sold in 30-pound bags, we then divide the pounds needed by the weight of each bag: 125 ÷ 30 ≈ 4.17. Since Marco can't buy a fraction of a bag, he must round up to the next whole number, which means he needs at least 5 bags.

Therefore, the inequality that represents all possible values for the number of bags, b, that Marco needs to order is b≥ 5.