Question

A bag contains some number of white balls,twice the number of white balls are blue balls,thrice the number of blue balls are the red balls.if the total number of balls in the bag are 32 calculate the number of balls of each colour present in the bag.

Answer 1

let white ball be x

blue ball =2x

red ball =3x

x+2x+3x=32

Answer 2

$Let \: number \: of \: white \: balls \: in \: a \\bag = x$

$Number \: of \: blue \: balls\\ = Twice \: the \: number \: of \: white \:balls \\= 2x$

$Number \: of \: Red \: balls\\ = Thrice \: the \: number \: of \: blue \:balls \\= 3 \times 2x\\= 6x$

$\red{ Total \: Number \: balls \: in \:the \:bag} = 32$

$\implies x + 2x + 6x = 32$

$\implies 9x = 32$

$\implies x = \frac{32}{9}$

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