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In a club there are 1500 boys and some girls, the ratio of number of girls to the boys is 3:10. after some more girls joined the club, the ratio of number of girls to the number of boys becomes 9:15. Find the innitial number of girls in the club.

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  • $\begingroup$ If you have 1500 boys and some girls and a ratio of girls to the boys of 3:10. Then the initial number of girls is simply $$\frac{1500*3}{10}=450$$ $\endgroup$ – Dr. Mathva Nov 26 '18 at 19:53
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If there are 3 girls for every 10 boys let $B=10x=1500$ so $x=150$. Thus $G=3x=450$. The second part is not needed to find the initial number of girls but it is a similar problem. If the new ratio is $9:15$, then $B=15y=1500$ and $y=100$ so $G=9x=900$ meaning that the girl population has doubled.

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