Given:
The total number of students = 37.
The number of males is 5 more than the number of females.
Required:
We need to find the number of female and male students.
Step-by-step explanation:
Let x be the number of female students.
More than 5 means adding 5 to the number.
The number of male students = x+5.
The sum of the number of female and male students = the total number of students.
![x+x+5=37](https://img.qammunity.org/2023/formulas/mathematics/college/gxxelnyjw0le141sen5egnm0n9gx0lkgsu.png)
![2x+5=37](https://img.qammunity.org/2023/formulas/mathematics/college/qkrv14w02y4pc7wipf340lgcqymn45qmtv.png)
Subtract 5 from both sides.
![2x+5-5=37-5](https://img.qammunity.org/2023/formulas/mathematics/college/67sbwx69tmqlc2ce8x89xrpljw3lvhuny9.png)
![2x=32](https://img.qammunity.org/2023/formulas/mathematics/college/yydk4txwu661kw8rvfx9141r474y2vtfch.png)
Divide both sides by 2.
![(2x)/(2)=(32)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/v99a9cq34hrig14ql02bqw5dgixpje0rde.png)
![x=16](https://img.qammunity.org/2023/formulas/mathematics/high-school/51vz1wvw52f0u73j6lzndab62fxjbe9969.png)
The number of female students =16.
The number of male students = x+5= 16+5 =21.
Final answer:
The number of female students =16 students.
The number of male students =21 students.