Question

In a school 4/7 of the students are boys and the number of girls is 504. find the number of boys

Answer 1

Answer:

hence the no. of boys are 672

Answer 2

$\huge\mathsf{\red{\underline{\underline{Answer}}}}$

$\sf{\blue{Let~ the~ total~ No.~ of~ students~ be~ x}}$

$\sf{\pink{No.~ of~ Girls~ = 504}}$

$\sf{\green{No.~ of~ Boys~ = \frac{4}{7}~ of~ x}}$

$\tt{Total~ No.~ of~ students~=No.~ of~ Boys~ + No~ of~ Girls}$

$\implies \sf x = \: \frac{4}{7} \times x + 504 \\ \\ \implies \sf x = \frac{4x}{7} + 504 \\ \\ \implies \sf \: x = \frac{4x + 3528}{7} \: \\ \\ \implies \sf \: 7x = 4x + 3528 \\ \\ \implies \sf \: 7x - 4x = 3528 \\ \\ \implies \sf { \pink{3x = 3528}} \\ \\ \implies \sf \: x = \cancel \frac{3528}{3} = 1176$

$\tt{\pink{ Hence, No \: of \: boys = \frac{4}{7} \times 1176 \: = \frac{4704}{7}}}$

$\: \: \: \: \: \: \: {\boxed{ \green {\mathfrak{672 \: boys}}}}$