Answer:
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
