SOLUTION: The percentage of boys in a particular class at the begining of it is 60% . During the school year, 6 girls move away and are replaced by six boys making the it 75% boys. Find the

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Question 295745: The percentage of boys in a particular class at the begining of it is 60% . During the school year, 6 girls move away and are replaced by six boys making the it 75% boys. Find the number of boys and girls in the class at the beginning.
Found 2 solutions by ankor@dixie-net.com, richwmiller:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
The percentage of boys in a particular class at the beginning of it is 60% .
During the school year, 6 girls move away and are replaced by six boys making the it 75% boys.
Find the number of boys and girls in the class at the beginning.
:
Let t = total in the class, (remains the same after 6 girls leave & 6 boys added)
:
.6t + 6 = .75t
6 = .75t - .60t
6 = .15t
t =
t = 40 in the class
:
:
Check by finding the no. of boys
.75(40) = 30 boys at the end of the class
.60(40) = 24 boys originally
----------------
no. added: 6 boys

Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
.6=3/5
.75=3/4
lets use 40 because it is a multiple of 20 5*4 lcd
and has integers for 3/5*40 and 3/4*40
3/5*40=24
24= b
16=g
16-6=10
24+6=30
30/40=.75=3/4
There could have been 40 boys and girls in the class
24 boys and 16 girls.