Question

I had Rs.500 with me which I divided among my brothers.Igave Rs.x to John, Rs.2x to Tom, and Rs.(x/3) to peter.If in the end I was left with Rs.(x+6).How much did I gave to peter?

Answer 1

$\huge{\star{\textrm{\underline{Concept behind:-}}}}$

$\sf\textsf{Linear equation in one variable.}$

$\sf\textsf{\underline{Here's how to do it:-}}$

$\sf{The\: total\: money={\boxed{\bold{\underline{Rs.500}}}}}$

$\sf{Money \:given\: to\: John= {\bold{Rs.x}}}$

$\sf{Money \:given\: to\: Tom= {\bold{Rs.2x}}}$

$\sf{Money \:given\: to\: Peter= {\bold{Rs.(x/3)}}}$

$\sf{Money \:left\: at\:the\: end= {\bold{Rs.(x+6)}}}$

$\Huge\textrm{\underline{ATQ:-}}$

$\implies{x+2x+(x/3)+(x+6)=500}$

$\implies{x+2x+(x+6)+(x/3)=500}$

$\implies{4x+x/3+6=500}$

$\implies{13/3x=500-6}$

$\implies{13/3x=494}$

$\implies{x=494×3/13}$

$\implies{\boxed{\bold{\underline{\star{x=114}}}}}$

$\sf\textsf{In question,it is asked that how much did Peter get.}$

$\sf{Peter \:was \:given\: {\boxed{\bold{\underline{\star{Rs.(x/3)=Rs.114/3=Rs.38}}}}}}$