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

Answer:

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

Step-by-step 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.

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

$3n\leq 201$

$\frac{3n}{3}\leq \frac{201}{3}$

$n\leq 67$

Thus, the Jacob can carry maximum 67 packages.

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