Answer:
25 boxes can be loaded.
Step-by-step explanation:
Weight of Tonga = 150 lb
Weight of each box = 72 lb
Maximum weight the elevator can withstand = 2000 lb
Tonga rides along with the boxes.
Let the number of boxes be 'n'.
1 box weight = 72 lb
∴ 'n' boxes weight = 1 box weight × Number of boxes
∴ 'n' boxes weight = [tex]72n[/tex]
Now, combined weight of boxes and Tonga = [tex]72n+150[/tex]
Now, the total weight should not exceed the maximum capacity of the elevator.
∴ Combined weight ≤ Maximum Weight
⇒ [tex]72n+150\leq 2000[/tex]
Now, solving for 'n', we get:
[tex]72n\leq 2000-150\\\\72n\leq 1850\\\\n\leq \frac{1850}{72}\\\\n\leq 25.7[/tex]
So, the number of boxes should be less than or equal to 25.
Therefore, the maximum number of boxes that can be loaded are 25.
