Jerrica is packing a box that can hold at most 65 pounds. She starts by putting a container in the
box that weighs 26 pounds. She plans to fill the rest of the box with books. Each book she places in
the box weighs 1.3 pounds. Write an inequality for the number of books Jerrica can put in the box,
and describe the solutions. (2 points)
Check answer Remaining Attemots. 3 bost

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UpStudy AI · Accepted Answer

To determine the number of books $$ x $$ that Jerrica can put in the box without exceeding the weight limit, we can set up the following inequality:

$$
26 + 1.3x \leq 65
$$

**Explanation:**
- **26 pounds** is the weight of the container.
- **$$ 1.3x $$** represents the total weight of $$ x $$ books, with each book weighing **1.3 pounds**.
- The sum of the container and books should be **less than or equal to 65 pounds**.

**Solving the Inequality:**

$$
\begin{align*}
26 + 1.3x &\leq 65 \
1.3x &\leq 65 - 26 \
1.3x &\leq 39 \
x &\leq \frac{39}{1.3} \
x &\leq 30
\end{align*}
$$

**Conclusion:**
Jerrica can place **up to 30 books** in the box without exceeding the 65-pound limit.

**Final Inequality:**
$$
26 + 1.3x \leq 65 \quad \text{where} \quad x \leq 30
$$
Jerrica can put up to 30 books in the box without exceeding the 65-pound limit.

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