SOLUTION: The ratio of boys and girls in a school is 3 : 2 . When 6 more girls join, this ratio becomes 6 : 5 . Then the number of boys in the school is

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Question 802215: The ratio of boys and girls in a school is 3 : 2 . When 6 more girls join, this ratio becomes 6 : 5 . Then the number of boys in the school is
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The ratio of boys and girls in a school is 3 : 2 .
When 6 more girls join, this ratio becomes 6 : 5 .
Then the number of boys in the school is
:
Let x = the multiplier
then
3x = no. boys
2x = no. of girls originally
:
When 6 girls added:
%283x%29%2F%282x%2B6%29 = 6%2F5
Cross multiply
5(3x) = 6(2x+6)
15x = 12x + 36
15x - 12x = 36
3x = 36
x = 36/3
x = 12 is the multiplier
therefore
3(12) = 36 boys
:
:
Check this
2(12) = 24 girls originally
then 30 girls when six added
36%2F30 = 6%2F5