Question

Jacob wants to use an elevator to carry identical packages having the same weight. Each package weighs 3 pounds and Jacob weighs 99 pounds. If the elevator can carry a maximum of 300 pounds at a time, which inequality shows the maximum number of packages, n, that Jacob can carry with himself in the elevator if he is the only passenger?

Answer 1

It would be n ≤ 67

Explanation:

Hope this helps! I took the test btw and got it correct! :)

Answer 2

The required inequality that shows the maximum number of packages is
`n\leq 67`.

Explanation:

Consider the provided information.

Each package weighs 3 pounds and Jacob weighs 99 pounds.

let n is the maximum number of package that Jacob can carry with himself in the elevator.

Thus, the total weight of Jacob while having n packages on the elevator is:

`3n+99`

The elevator can carry a maximum of 300 pounds at a time, therefore.

`3n+99\leq 300`

Now, subtract 99 from both sides and divide the obtained inequality with 3.

`3n+99-99\leq 300-99`

`3n\leq 201`

`(3n)/(3)\leq (201)/(3)`

`n\leq 67`

Thus, the Jacob can carry maximum 67 packages.

Hence, the required inequality that shows the maximum number of packages is
`n\leq 67`.