Question

a small cargo plane currently has 140 pounds of cargo aboard. in addition, n boxes weighing 25 pounds each will be brought aboard. suppose that the total weight of the cargo on board must be at most p pounds. using the values and variables given, write an inequality describing this.

Explanation:

Step1: Identify existing and new - coming cargo

The existing cargo is 140 pounds and there are n new boxes each weighing 25 pounds. So the total weight of new - coming boxes is 25n pounds. The total weight of cargo on board will be the sum of the existing cargo and the weight of new boxes, which is \(140 + 25n\).

Step2: Set up the inequality

The total weight of the cargo on board must be at most p pounds. “At most” means less than or equal to. So the inequality is \(140+25n\leq p\).

Answer:

\(140 + 25n\leq p\)