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To solve the problem, let's break down the information provided:

1. **Rupert's total books**: He owns 72 books in total.
2. **Mia's non-fiction books**: Mia owns 6 times as many non-fiction books as Rupert.
3. **Pie charts**: The angles in the pie charts represent the proportion of fiction and non-fiction books.

### Step 1: Calculate Rupert’s non-fiction and fiction books
The pie chart for Rupert’s books shows that **225°** represents non-fiction books. The total degrees in a circle is **360°**, so the proportion of non-fiction books Rupert has is:
\[
\text{Proportion of non-fiction} = \frac{225^\circ}{360^\circ} = \frac{5}{8}
\]
Thus, the number of non-fiction books Rupert owns is:
\[
\text{Rupert's non-fiction books} = 72 \times \frac{5}{8} = 45 \text{ books}
\]
This means Rupert owns **45 non-fiction books**.

Next, the number of fiction books Rupert owns is the remaining proportion:
\[
\text{Rupert's fiction books} = 72 - 45 = 27 \text{ books}
\]

### Step 2: Calculate Mia’s non-fiction books
Mia owns **6 times** as many non-fiction books as Rupert:
\[
\text{Mia's non-fiction books} = 6 \times 45 = 270 \text{ books}
\]

### Step 3: Calculate Mia’s total books
From the pie chart for Mia’s books, we know that **120°** represents fiction books, so the proportion of fiction books is:
\[
\text{Proportion of fiction} = \frac{120^\circ}{360^\circ} = \frac{1}{3}
\]
Thus, the proportion of non-fiction books is:
\[
\text{Proportion of non-fiction} = 1 - \frac{1}{3} = \frac{2}{3}
\]
We already know that Mia has **270 non-fiction books**, which corresponds to \(\frac{2}{3}\) of her total books. Let \( x \) represent Mia's total number of books:
\[
\frac{2}{3}x = 270
\]
Solving for \( x \):
\[
x = 270 \times \frac{3}{2} = 405
\]
So, Mia owns **405 books in total**.

### Final Answer:
Mia owns **405 books in total**.

Would you like more details on any part of this solution? Here are five related questions to explore further:

1. How can we find the number of fiction books Mia owns based on the solution?
2. How do proportions in pie charts help in solving similar problems?
3. How would the problem change if Rupert had more books?
4. How does changing the ratio between fiction and non-fiction books affect the total number of books?
5. What other types of data visualization could replace the pie chart here?

**Tip**: When working with pie charts, always convert degrees into fractions of a circle (out of 360°) to find the proportions accurately.

Rupert owns 72 books in total. Mia owns 6 times as many non-fiction books as Rupert. How many books does Mia own in total?

Explore how to calculate the total number of books Mia owns by using proportional information provided in pie charts, multiplication of ratios, and basic algebra. Suitable for middle school students in grades 6-8.

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