In senior highschool, 35% of the students are girls. If there are 300 fewer girls than boys, find the total number of students in the school.

Question

 this is a problem solving of a set.

Answer 1

Let T = total number of students, G = number of girls and B = number of boys

 

T = G+B

 

Since 35% are girls

 

.35T = G

or

T = 2.857G

 

Also since there are 300 fewer girls than boys

 

B - 300 = G

or

B = G + 300

 

Now we can substitute into the original equation

T = B + G

becomes

2.875G = (G+300) + G

2.875G = 2G + 300

 

Now you can solve for G and find T from there