Question

if 2/3 of all the books in a library are works of fiction, find the ratio of fiction to that of non fiction books in the Library.

Answer 1

Answer:

$\red { Ratio \: of \: fiction \:to \: that\:of }$

$\red{non \: fiction \:books }$

$\green {=2 : 1 }$

Step-by-step explanation:

$Let \: the \: Total \: books \: in \:a\: library =x$

$Number \: of \: fiction \:books = \frac{2}{3}\:of\: total \:books$

$= \frac{2x}{3}\:---(1)$

$Number \: of \: non \: fiction \:books$

$= Total \: books - Fiction \:books \\= x - \frac{2x}{3}\\=\frac{3x - 2x}{3} \\=\frac{x}{3}\:--(2)$

$\red { Ratio \: of \: fiction \:to \: that\:of }$

$\red{non \: fiction \:books }$

$= \frac{\frac{2x}{3}}{\frac{x}{3}}\\=\green {2 : 1 }$

Therefore.,

$\red { Ratio \: of \: fiction \:to \: that\:of }$

$\red{non \: fiction \:books }$

$=\green {2 : 1 }$

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