1. **State the problem:** Mason owns 48 books in total. Hanna owns 6 times as many non-fiction books as Mason. We need to find how many books Hanna owns in total. 2. **Analyze Mason's books:** Mason's books are divided into fiction and non-fiction. The pie chart shows fiction as 195° and non-fiction as the remaining part of the circle (360° total). 3. **Calculate Mason's non-fiction books:** Total degrees in a circle = 360° Non-fiction degrees = 360° - 195° = 165° Fraction of Mason's books that are non-fiction = \frac{165}{360} = \frac{11}{24} Number of Mason's non-fiction books = \frac{11}{24} \times 48 = 22 4. **Calculate Hanna's non-fiction books:** Hanna owns 6 times as many non-fiction books as Mason. Number of Hanna's non-fiction books = 6 \times 22 = 132 5. **Analyze Hanna's books:** Hanna's pie chart shows fiction as 120°, so non-fiction is 360° - 120° = 240°. Fraction of Hanna's books that are non-fiction = \frac{240}{360} = \frac{2}{3} 6. **Calculate total books Hanna owns:** Let total books Hanna owns be $x$. Non-fiction books = \frac{2}{3} x = 132 Solve for $x$: $$\frac{2}{3} x = 132$$ Multiply both sides by 3: $$3 \times \frac{2}{3} x = 3 \times 132$$ $$2x = 396$$ Divide both sides by 2: $$\cancel{2}x = \frac{396}{\cancel{2}}$$ $$x = 198$$ **Final answer:** Hanna owns 198 books in total.