The ratio of boys to girls in a certain classroom was 2:3 . If boys represented 5 more than one third of class. how many people were in the classroom?
a.15
b.25
c.30
d.45

Question

The ratio of boys to girls in a certain classroom was 2:3 . If boys represented 5 more than one third of class. how many people were in the classroom?
a.15
b.25
c.30
d.45

anonymous · Answer

Let x = boys
let y = girls
let class = x+ y

x/y = 2/3
y = 3/2 (x)

boys = 1/3 class + 5
x = (1/3) (x+y) + 5

Now substitute y in for x
x = 1/3 (x + 3/2 x) + 5
x = 1/3 x +1/2 x + 5
x = 2/6 x + 3/6 x + 5
x = 5/6 x + 5
1/6 x = 5
x = 30

y = 3/2 (x)
y = 3/2 (30)
y = 45

class = x+y = 30 +45 = 75 students.

anonymous · Answer

Oh.. Thanks .. That was very Helpful. ^^ ..  I guess the question I have is the wrong one. Your answer seems totally logical.

anonymous · Answer

Hope it helps!  Sorry I tried to get the answers on your multiple choice but maybe they typed the wrong question? o.o  Sorry...

anonymous · Answer

No. Its alright. You are not to blame,friend. I was confused as well. But since you got the same answer.. I guess Mr.Question is the one to blame.