Question 112793

I THINK THAT YOU HAVE STATED THE PROBLEM INCORRECTLY. IT THINK IT SHOULD READ---"HE ADMITTED SIX BOYS----"---NOT SIX GIRLS.  IF HE ADMITTED SIX GIRLS, THE PERCENTAGE OF BOY S WOULD NOT HAVE CHANGED.

Let x=number of boys and girls involved in the project initially

Then 0.6x=number of boys
And 0.4x=number of girls

Now we are told that:

0.4x-6=0.25x  subtract 0.4x from both sides

0.4x-0.4x-6=0.25x-0.4x  collect like terms

-6=-0.15x  divide both sides by -0.15

x=40 ---number of boys and girls involved in the project initially

ANOTHER WAY:

0.6x+6=0.75x subtract 0.6x from both sides
0.15x=6
x=40

CK 

60% of 40 =24
40% of 40 =16
16-6=10
24+6=30

10 is 25% of 40
30 is 75% of 40


Hope this helps---ptaylor