Lionel is loading boxes of books into an elevator to move to the 35 th floor of an office building.
There are 10 boxes of books, and Lionel wants to make sure he is not exceeding the maximum
weight of the elevator, which is 2,000 pounds. Lionel weighs 170 pounds. If each box of books
weighs the same amount, how much can each box weigh? Solve this problem and then graph the
solution on a number line. (1 point)

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UpStudy AI · Accepted Answer

To determine the maximum weight each box can have without exceeding the elevator's limit:

1. **Total Weight Limit:** 2,000 pounds
2. **Lionel's Weight:** 170 pounds
3. **Number of Boxes:** 10
4. **Let each box weigh:** $$ x $$ pounds

**Set up the inequality:**
$$ 170 + 10x \leq 2000 $$

**Solve for $$ x $$:**
$$
\begin{align*}
10x &\leq 2000 - 170 \
10x &\leq 1830 \
x &\leq \frac{1830}{10} \
x &\leq 183
\end{align*}
$$

**Conclusion:**  
Each box can weigh **no more than 183 pounds**.

**Graph on a Number Line:**

```
<----|--------------------------|>
     0                        183
          ≤ 183
```

- The shaded region includes all weights from 0 up to and including 183 pounds.
Each box can weigh up to 183 pounds.

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