Question

there are 785 students in a senior class. there are 77 more females than males. how many male and female seniors are there?

Answer 1

There would 862 male and female seniors there.

Answer 2

There are 431 female students and 354 male students.

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

`M+F=785`

"There are 77 more females than male".

This can be expressed as

`F=M+77`, because there 77 females more.

Then, we replace the second equation into the first one

`M+M+77=785\\2M=785-77\\M=(708)/(2)\\ M=354`

Now, we use this value to find the other one

`F=M+77\\F=354+77\\F=431`

Therefore, there are 431 female students and 354 male students.