Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of
Number of students liking football to number of students liking tennis.

Answer

To solve the problem step by step, we will follow the instructions provided in the video transcript.

### Step 1: Identify the total number of students and those who like each sport.
- Total students in the class = 30
- Students who like football = 6
- Students who like cricket = 12

### Step 2: Calculate the number of students who like tennis.
- To find the number of students who like tennis, we need to subtract the number of students who like football and cricket from the total number of students.

\[ \text{Number of students liking tennis} = \text{Total students} - (\text{Students liking football} + \text{Students liking cricket}) \]

\[ = 30 - (6 + 12) \]

\[ = 30 - 18 = 12 \]

### Step 3: Write down the number of students liking each sport.
- Students liking football = 6
- Students liking tennis = 12

### Step 4: Find the ratio of students liking football to students liking tennis.
- The ratio is given by the formula:

\[ \text{Ratio} = \frac{\text{Number of students liking football}}{\text{Number of students liking tennis}} = \frac{6}{12} \]

### Step 5: Simplify the ratio.
- To simplify \(\frac{6}{12}\):

\[ \frac{6}{12} = \frac{1}{2} \]

### Step 6: Write the final ratio in the correct format.
- The ratio of the number of students liking football to the number of students liking tennis is:

\[ 1 : 2 \]

### Final Answer:
The ratio of the number of students liking football to the number of students liking tennis is **1 : 2**.

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