45 students took part in the survey.Write the ratio     number of Year 10 students taking part : number of Year 11 students taking partin its simplest form.

To solve this problem, we need to determine the ratio of Year 10 students to Year 11 students who participated in the survey. However, the exact number of Year 10 and Year 11 students is not provided in the question.

Step 1: Break Down the Problem

1. Identify the total number of students: 45.
2. Let $x$ be the number of Year 10 students.
3. Let $y$ be the number of Year 11 students.
4. Create an equation: $x + y = 45$.
5. The ratio we need to find is $\text{Year 10 students} : \text{Year 11 students}$ or $x : y$.

Step 2: Relevant Concepts

• The ratio $x:y$ can be expressed as $\frac{x}{y}$.
• To simplify this ratio, both $x$ and $y$ should be expressed in their simplest numerical form.

Step 3: Analysis and Detail

Without specific values for $x$ and $y$, we cannot calculate the exact ratio. However, if you can provide the number of Year 10 and Year 11 students, we can substitute those values into the ratio format $\frac{x}{y}$.

Step 4: Verify and Summarize

Once the specific numbers are given, we would simply write the ratio as $\frac{x}{y}$ and then reduce it to its simplest form by dividing both parts by their greatest common divisor (GCD).

Final Answer

Please provide the number of Year 10 and Year 11 students for a definitive ratio calculation.