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 cricket to total number of students.

Answer

To solve the problem step by step, we will find the ratio of the number of students who like cricket to the total number of students in the class.

### Step 1: Identify the number of students who like cricket
From the question, we know that:
- Number of students liking cricket = 12

### Step 2: Identify the total number of students in the class
The total number of students in the class is given as:
- Total number of students = 30

### Step 3: Set up the ratio
We need to find the ratio of the number of students liking cricket to the total number of students. This can be expressed as:
- Ratio = Number of students liking cricket : Total number of students

### Step 4: Substitute the values into the ratio
Substituting the values we found in Steps 1 and 2:
- Ratio = 12 : 30

### Step 5: Simplify the ratio
To simplify the ratio, we can divide both terms by their greatest common divisor (GCD). The GCD of 12 and 30 is 6.
- 12 ÷ 6 = 2
- 30 ÷ 6 = 5

Thus, the simplified ratio is:
- Ratio = 2 : 5

### Final Answer
The ratio of the number of students liking cricket to the total number of students is **2 : 5**.

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