Terrance is loading two different size boxes onto an elevator, which has a wieght limit. The small boxes weigh 5 kg each and the large boxes weigh 8 kg each. If Terrance loads b small boxes and two large boxes for a wieght of at least 40 kg but no more than 55 kg, what is one possible value of b?

Step-by-step explanation:

Let b represent the weight of each small box that Terrence loads onto the elevator.

Let c represent the weight of each large box that Terrence loads onto the elevator.

The small boxes weigh 5 kg each and the large boxes weigh 8 kg each. This means that the total weight of b small boxes and c large boxes is

5b + 8c

If Terrance loads b small boxes and two large boxes for a weight of at least 40 kg but no more than 55 kg, the expressions would be

5b + 8 * 2 ≥ 40

5b + 16 ≥ 40

5b ≥ 40 - 16

5b ≥ 24

b ≥ 24/5

b ≥ 4.8

The other expression is

5b + 16 ≤ 55

5b ≤ 55 - 16

5b ≤ 39

b ≤ 39/5

b ≤ 7.8

The possible values of b are

(4.8 ≤ b ≤ 7.8)

A possible value for b would be 6 small boxes