# There are 785 students in the senior class. If there are 77 more females in the class than males, how many male and female seniors are there in the class?

Nov 21, 2016

The number of male seniors is $354$ and the number of female seniors is $431$.

#### Explanation:

If we represent the number of males as $x$, then the number of females will be $\left(x + 77\right)$. Hence:

$x + \left(x + 77\right) = 785$

Open the brackets and simplify.

$x + x + 77 = 785$

$2 x + 77 = 785$

Subtract $77$ from both sides.

$2 x = 708$

Divide both sides by $2$.

$x = 354$

$\therefore \left(x + 77\right) = 431$