Question

£60 dived into ration 4:5:6

Answer 1

$\bigstar\star\huge\textrm{Concept used:-}$

$\textsf{First make the ratios multiplied by X, then add it up and divide it by the number given in the question}$

$\sf\textsf{So, here we have to divide £60 into the ratio 4:5:6}$

$\sf\textsf{So, let the ratio be:-}$

$\bigstar\boxed{\implies\bold{4x:5x:6x}}$

$\huge\mathtt{ATQ:-}$

$\implies{4x+5x+6x=60}$

$\implies{15x=60}$

$\implies{x={\frac{60}{15}}}$

$\implies{x=\cancel\frac{60}{15}}$

$\implies{\boxed{\bold{\underline{x=4}}}}$

$\textsf{Now }\implies{4x=4×4=16}$

$\implies{5x=5×4=20}$

$\implies{6x=6×4=24}$

$\huge\sf\textsf{\underline{Verification:-}}$

$\sf\textsf{All the outcomes should add upto 60, if they do so then the answer is correct}$

$\boxed{\textbf{16+20+24=60}}$