How many suitcases averaging 32 pounds apiece can be loaded onto a plane that can hold a maximum of 2,150 pounds of storage? If s represents the number of suitcases, how would you write an inequality expressing this situation?

1 answer

To find out how many suitcases can be loaded onto the plane, we need to divide the maximum storage capacity of the plane by the average weight of each suitcase.

Let s be the number of suitcases. Since each suitcase weighs an average of 32 pounds, the total weight of s suitcases is 32s.

The inequality expressing this situation can be written as:
32s ≤ 2150

Now, we solve for s:
s ≤ 2150 / 32
s ≤ 67.1875

Since s represents the number of suitcases and it cannot be a fraction, the maximum number of suitcases that can be loaded onto the plane is 67.