Answer:
There are 431 female students and 354 male students.
Step-by-step explanation:
"There are 785 students in a senior class".
This means between males and females, there are 785 people in total. This can be expressed as
[tex]M+F=785[/tex]
"There are 77 more females than male".
This can be expressed as
[tex]F=M+77[/tex], because there 77 females more.
Then, we replace the second equation into the first one
[tex]M+M+77=785\\2M=785-77\\M=\frac{708}{2}\\ M=354[/tex]
Now, we use this value to find the other one
[tex]F=M+77\\F=354+77\\F=431[/tex]
Therefore, there are 431 female students and 354 male students.
