the ratio of boys to girls in a school is $$ 4: 6 $$ and there are 1200 learners. 3.1 How many girls are there? 3.4. How many boys are there?

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To solve the problem, we first need to understand the ratio of boys to girls, which is given as $$ 4:6 $$. This can be simplified to $$ 2:3 $$ by dividing both parts of the ratio by 2.

Next, we can denote the number of boys as $$ 2x $$ and the number of girls as $$ 3x $$, where $$ x $$ is a common multiplier.

Given that the total number of learners (boys + girls) is 1200, we can set up the equation:

$$
2x + 3x = 1200
$$

Now, let's solve for $$ x $$:

$$
5x = 1200
$$

Dividing both sides by 5:

$$
x = \frac{1200}{5} = 240
$$

Now that we have $$ x $$, we can find the number of girls and boys:

1. **Number of girls**:
   $$
   \text{Girls} = 3x = 3 \times 240 = 720
   $$

2. **Number of boys**:
   $$
   \text{Boys} = 2x = 2 \times 240 = 480
   $$

Thus, the answers are:
- **3.1**: There are 720 girls.
- **3.4**: There are 480 boys.
There are 720 girls and 480 boys in the school.

the ratio of boys to girls in a school is \( 4: 6 \) and there are 1200 learners. 3.1 How many girls are there? 3.4. How many boys are there?

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