1. **State the problem:** There are 270 students in year 7 studying French, German, or Spanish. We know: - $\frac{2}{9}$ of the students study French. - The ratio of students studying French to Spanish is 3:7. - 42 boys study German. We need to find the percentage of German students who are boys. 2. **Find the number of students studying French:** $$\text{French} = \frac{2}{9} \times 270 = 60$$ 3. **Use the ratio of French to Spanish students:** The ratio is 3:7, so if French students are 60 (which corresponds to 3 parts), then each part is: $$\frac{60}{3} = 20$$ Therefore, Spanish students (7 parts) are: $$7 \times 20 = 140$$ 4. **Find the number of German students:** Total students = 270 French + Spanish + German = 270 $$60 + 140 + \text{German} = 270$$ $$\text{German} = 270 - 200 = 70$$ 5. **Calculate the percentage of German students who are boys:** Number of boys studying German = 42 Total German students = 70 $$\text{Percentage} = \left(\frac{42}{70}\right) \times 100 = 60\%$$ **Final answer:** 60% of the students who study German are boys.