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?

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Answer 1 · 2016-11-21T18:56:58

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

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

#x+(x+77)=785#

Open the brackets and simplify.

#x+x+77=785#

#2x+77=785#

Subtract #77# from both sides.

#2x=708#

Divide both sides by #2#.

#x=354#

#:.(x+77)=431#