In a co-ed school there are $15$ more girls than boys. If the number of girls is increased by $10 %$ and the number of boys is also increased by $16 %$ , there would be $9$ more girls than boys. What is the number of students in the school?

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Solution

$L e t t h e n u m b e r o f g i r l s b e x, n u m b e r o f b o y s = x - 15, G i v e n, 1.1 x - 1.16 (x - 15) = 9, 0.06 x = 8.4, x = 140, T o t a l n u m b e r o f s t u d e n t = 140 + 125 = 265$

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In a co-ed school there are 15 more girls than boys. If the number of girls is increased by 10% and the number of boys is also increased by 16%, there would be 9 more girls than boys. What is the number of students in the school?

Letthenumberofgirlsbex,numberofboys=x−15,Given,1.1x−1.16(x−15)=9,0.06x=8.4,x=140,Totalnumberofstudent=140+125=265

In a co-ed school there are $15$ more girls than boys. If the number of girls is increased by $10 %$ and the number of boys is also increased by $16 %$ , there would be $9$ more girls than boys. What is the number of students in the school?

$L e t t h e n u m b e r o f g i r l s b e x, n u m b e r o f b o y s = x - 15, G i v e n, 1.1 x - 1.16 (x - 15) = 9, 0.06 x = 8.4, x = 140, T o t a l n u m b e r o f s t u d e n t = 140 + 125 = 265$