Students Ratio 440Df1

1. **State the problem:** We have 4 schools sending students to a language course. One school sent French and German students in the ratio $1:3$, with $21$ German students. The other 3 schools sent the same number of students each. We need to find the total number of students sent. 2. **Use the ratio to find French students:** The ratio of French to German students is $1:3$. Given German students = $21$, let French students be $x$. 3. Set up the ratio equation: $$\frac{x}{21} = \frac{1}{3}$$ 4. Solve for $x$: $$x = \frac{1}{3} \times 21 = 7$$ 5. **Calculate total students from the first school:** French + German = $7 + 21 = 28$ 6. **Determine students from the other 3 schools:** Each of the other 3 schools sent the same number of students. Let that number be $y$. 7. Total students from all schools: $$28 + 3y$$ 8. Since the problem does not specify $y$, but implies the other 3 schools sent the same number of students as the first school, we assume each sent $28$ students. 9. Calculate total students: $$28 + 3 \times 28 = 28 + 84 = 112$$ **Final answer:** The total number of students sent to the language course is **112**.