Question

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Part 1
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 170 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 960 lb. How many boxes of books can the delivery person bring up at one​ time?
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Part 1
The delivery person can bring up
  
enter your response here boxes of books.
​(Type a whole​ number.)

Answer 1

To determine how many boxes of books the delivery person can bring up at one time, we start by calculating the total weight, which includes the delivery person's weight and the weight of the boxes of books. The maximum capacity of the elevator is 960 lb.

1. **Weight of the delivery person**: 170 lb
2. **Weight of each box of books**: 50 lb
3. **Maximum weight the elevator can carry**: 960 lb

Let \( x \) be the number of boxes of books. The equation for the maximum weight in the elevator becomes:

\[
170 + 50x \leq 960
\]

Subtract the weight of the delivery person from both sides:

\[
50x \leq 960 - 170
\]

\[
50x \leq 790
\]

Now, divide both sides by 50 to find \( x \):

\[
x \leq \frac{790}{50}
\]

\[
x \leq 15.8
\]

Since the number of boxes must be a whole number, we round down to the nearest whole number:

\[
x = 15
\]

Thus, the delivery person can bring up **15 boxes of books** at one time.

The answer is:

The delivery person can bring up **15** boxes of books.