https://file.aiquickdraw.com/mathbot/file/1725399055983fa2oclgx.jpg

Let's start by solving Part A to understand the relationship, then we'll use that to answer Part B.

### Part A:
We are given that Julian saved between $30 and $52, and Daniela saved twice as much as Julian. Let $ n $ represent the amount of money Daniela saved. Since Daniela saved twice as much as Julian, we have:

\[
n = 2 \times \text{{amount Julian saved}}
\]

So, the inequality representing how much Daniela saved can be written as:

\[
2 \times 30 \leq n \leq 2 \times 52
\]

This simplifies to:

\[
60 \leq n \leq 104
\]

However, the correct inequality in the options is adjusted for the amount Julian saved, so the correct answer is:

\[
\boxed{30 \leq \frac{1}{2}n \leq 52}
\]

### Part B:
Using the inequality from Part A:

\[
60 \leq n \leq 104
\]

So, Daniela saved between **$60** (this goes in blank 19) and **$104** (this goes in blank 20).

If you have any questions or need further details, feel free to ask!

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Here are 5 related questions you might find useful:
1. How would the inequality change if Daniela saved three times as much as Julian?
2. What would be the savings range for Julian if Daniela had saved between $90 and $150?
3. How do you convert inequalities into different forms, like with decimals or percentages?
4. How can compound inequalities be graphed on a number line?
5. How do compound inequalities relate to real-world situations other than savings?

**Tip:** When working with inequalities, always pay attention to whether the inequality involves multiplying or dividing by a negative number, as this will reverse the inequality signs.

Julian saved between $30 and $52 over the summer. His friend Daniela saved twice as much. Let n represent the amount of money Daniela saved. Solve Part B: How much money did Daniela save?

Learn how to solve compound inequalities to determine Daniela's savings when given that she saved twice as much as Julian, who saved between $30 and $52. Understand the algebraic concepts and apply them to find that Daniela saved between $60 and $104. Suitable for Grades 6-8.

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