Question : The ratio of the number of boys in a school to the total number of boys and girls in that school is 7 : 17. If the number of boys in that school is 1099, then how many girls are there in that school?
Option 1: 1570
Option 2: 1580
Option 3: 1560
Option 4: 1550
Correct Answer: 1570
Solution :
The ratio of the number of boys in a school to the total number of boys and girls in that school = 7 : 17
The number of boys in that school = 1099
So, $\frac{7}{17}=\frac{\text{Boys}}{\text{Boys+Girls}}$
⇒ $\frac{7}{17}=\frac{1099}{\text{Boys+Girls}}$
$\therefore$ Boys + Girls = 2669
$\therefore$ Number of girls = Number of boys and girls – Number of boys = 2669 – 1099 = 1570
Hence, the correct answer is 1570.
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