Question

In a school 57% students are girls. If there are 196 more girls than boys then there are how many total students in school.​

Answer 1

Explanation:

ithink 223.44

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

GIVEN

• In a school 57% students are girls
• There are 196 more girls than boys

TO DETERMINE

The total number of students

CALCULATION

$\sf{Let \: total \: number \: of \: students = x}$

$\therefore \displaystyle \: \sf{Number \: of \: girl \: students}$

$\displaystyle \: \sf{ = x. \frac{57}{100} = \frac{57x}{100} \: }$

$\therefore \displaystyle \: \sf{Number \: of \: boy \: students}$

$\displaystyle \: \sf{ =x - \frac{57x}{100} = \frac{43x}{100} \: }$

By the given condition

$\displaystyle \: \sf{ \frac{57x}{100} - \frac{43x}{100} \: = 196 }$

$\implies \: \displaystyle \: \sf{ \frac{57x - 43x}{100} = 196 }$

$\implies \: \displaystyle \: \sf{ \frac{14x}{100} = 196 }$

$\implies \: \displaystyle \: \sf{x = 196 \times \frac{100}{14} }$

$\implies \: \displaystyle \: \sf{x = 1400 }$

RESULT

$\boxed{ \: \sf{Hence \: total \: number \: of \: students = 1400 \: \: } \: }$

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