Question

In a college, 3/7 of the students are females. If there are 119 more males than females, how many males are there in the college?

Answer 1

Answer:

hii bro your answer is 833 males

Answer 2

SOLUTION

GIVEN

In a college, 3/7 of the students are females. If there are 119 more males than females

TO DETERMINE

The number of males are there in the college

EVALUATION

Let the total number of students = x

So

$\displaystyle \sf{The \: total \: number \: of \: females = \frac{3x}{7} }$

$\displaystyle \sf{The \: total \: number \: of \: males =x - \frac{3x}{7} = \frac{4x}{7} }$

So by the given condition

$\displaystyle \sf{ \frac{4x}{7} - \frac{3x}{7} = 119 }$

$\implies \displaystyle \sf{ \frac{4x - 3x}{7} = 119 }$

$\implies \displaystyle \sf{ \frac{x}{7} = 119 }$

$\implies \displaystyle \sf{ x= 119 \times 7 }$

$\implies \displaystyle \sf{ x=833 }$

$\displaystyle \sf{The \: total \: number \: of \: males }$

$\displaystyle \sf{= \frac{4x}{7} }$

$\displaystyle \sf{= \frac{4}{7} \times 833 }$

$= \sf{ 476\: }$

FINAL ANSWER

$\displaystyle \sf{The \: total \: number \: of \: males = 476 }$

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