Question -:
The ratio of boys and girls in a classroom is 2 : 3 respectively. If the total number of children is 20. How many boys are there in the class ?
Explanation -:
In this question we are provided with the ratio of boys isto girls that is 2 : 3 it is also given that total number of children are 20. We are asked to calculate number of boys.
![\green{ \small \pmb{\tt{ First \: we \: will \: form \: an \: equation }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/kb8zl1xdyxshhj1zx3v26i8rjrndgdqwvl.png)
Let us assume the number of girls as 3x and number of boys as 2x.
Total number of children = 20
3x + 2x = 20
![\orange{\small \pmb{\tt{ Now \: we \: will \: solve \: this \: equation }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/n2epgf731uos4h6q8mel8lumujcaa7gg93.png)
![\small\frak{ 3x + 2x = 20}](https://img.qammunity.org/2023/formulas/mathematics/high-school/9h9xv5plotyd65s0vbrhn06rd8bb32gfi0.png)
![\small\frak{ 5x = 20}](https://img.qammunity.org/2023/formulas/mathematics/high-school/pq9it6hq04zufdkyxb7amcxcrjiwv60468.png)
![\small\frak{ x = (20)/(5) = 4}](https://img.qammunity.org/2023/formulas/mathematics/high-school/3kv7cbt4pvx7auigb9mtnjszqy13i8f0ri.png)
![\small \underline{ \boxed{\pmb{x = 4} }} \large \: \star](https://img.qammunity.org/2023/formulas/mathematics/high-school/pmv1lukkymnj1tfh33masxpi0qzx6a9frp.png)
Boys = 2 × 4 = 8
Girls = 3 × 4 = 12
- Hence 8 boys and 12 girls are there in the classroom.
![\tiny \tt{spbankingandsscseries}](https://img.qammunity.org/2023/formulas/mathematics/high-school/zwvtuo8d4potjbb67rclia2idsm0zaux2o.png)