The total number of students in a school is 2140. If number of girls in the school is 1200, then what is the ratio of total number of boys to the total number of girls in the school ?

To find the ratio of the total number of boys to the total number of girls in the school, follow these steps:

1. **Calculate the number of boys**:
   - Total number of students = 2140
   - Number of girls = 1200
   - Number of boys = Total students - Number of girls  
   \[
   \text{Number of boys} = 2140 - 1200 = 940
   \]

2. **Determine the ratio**:
   - The ratio of boys to girls is:
   \[
   \text{Ratio of boys to girls} = \frac{\text{Number of boys}}{\text{Number of girls}} = \frac{940}{1200}
   \]

3. **Simplify the ratio**:
   - To simplify, divide both numbers by their greatest common divisor (GCD). The GCD of 940 and 1200 is 20.
   \[
   \frac{940}{1200} = \frac{940 \div 20}{1200 \div 20} = \frac{47}{60}
   \]

Thus, the ratio of boys to girls is \( \frac{47}{60} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you calculate the GCD of two numbers?
2. What is the ratio of girls to total students?
3. If 10 more boys joined, what would the new ratio of boys to girls be?
4. How do you convert a ratio to a percentage?
5. What if the total number of students increased, but the ratio stayed the same—how would you calculate the new number of boys?

**Tip**: Ratios can always be simplified by dividing both terms by their greatest common divisor (GCD).

The total number of students in a school is 2140. If number of girls in the school is 1200, then what is the ratio of total number of boys to the total number of girls in the school?

Learn how to calculate the ratio of boys to girls in a school with 2140 students, where 1200 are girls. This step-by-step guide simplifies the ratio from 940:1200 to 47:60 using the GCD method. Suitable for Grades 6-8 students.

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