In a college, out of 4320 students, 2300 are girls. Find the ratio of
Number of boys to the number of girls.

Answer

To find the ratio of the number of boys to the number of girls in a college with a total of 4320 students, where 2300 of them are girls, we can follow these steps:

### Step 1: Determine the number of boys
To find the number of boys, we subtract the number of girls from the total number of students.

\[ \text{Number of boys} = \text{Total students} - \text{Number of girls} \]

Substituting the values:

\[ \text{Number of boys} = 4320 - 2300 \]

Calculating this gives:

\[ \text{Number of boys} = 2020 \]

### Step 2: Write the ratio of boys to girls
Now that we have the number of boys (2020) and the number of girls (2300), we can express the ratio of boys to girls.

\[ \text{Ratio of boys to girls} = \frac{\text{Number of boys}}{\text{Number of girls}} = \frac{2020}{2300} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can divide both numbers by their greatest common divisor (GCD).

First, we can cancel the common zero:

\[ \frac{2020}{2300} = \frac{202}{230} \]

Now, we need to find the GCD of 202 and 230. The GCD is 2.

Now we divide both the numerator and the denominator by 2:

\[ \frac{202 \div 2}{230 \div 2} = \frac{101}{115} \]

### Final Answer
Thus, the ratio of the number of boys to the number of girls is:

\[ \text{Ratio of boys to girls} = 101 : 115 \]

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