Certainly! Let's tackle this step-by-step:
1. Understand the Ratio: The ratio of boys to girls is given as 3:7. This means for every 3 boys, there are 7 girls.
2. Total Parts in the Ratio: If you add the parts of the ratio together, you get the total number of parts.
[tex]\[
3 \text{ (boys)} + 7 \text{ (girls)} = 10 \text{ (total parts)}
\][/tex]
3. Total Number of Children: It is given that there are 10 children in total in the swimming lesson.
4. Determine Number of Boys:
- Since the total number of parts in the ratio is 10, you can find out how many boys correspond to these parts:
[tex]\[
\text{Number of boys} = \left(\frac{\text{Ratio of boys}}{\text{Total parts in the ratio}}\right) \times \text{Total number of children}
\][/tex]
- Substitute the values into the equation:
[tex]\[
\text{Number of boys} = \left(\frac{3}{10}\right) \times 10
\][/tex]
- Simplify the calculation:
[tex]\[
\text{Number of boys} = 3.0
\][/tex]
So, the number of boys in the swimming lesson is 3.
