Question

There are 30 thousand books in a library the science, language and general knowledge books are in the ratio 5:4:7 find the number of books of each subject.

Answer 1

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There are 30 thousand books in a library the science, language and general knowledge books are in the ratio 5:4:7 find the number of books of each subject..

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Total books = 30000

$Let\:Science\:books = 5x$

$Let\:Lang.\:books = 4x$

$Let\:G.K.\:books = 7x$

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$5x+4x+7x = 30000$

$16x = 30000$

$x = \frac{30000}{16}$

$x = \cancel\frac{30000}{16}⇒1875$

$x = 1875$

Now,

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No. of Science books =$5x$

$⇒5(1875)$

⇒${\boxed{\bf\pink{9375\:books}}}$

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No. of Language Books = $4x$

$⇒4(1875)$

⇒${\boxed{\bf\orange{7500\:books}}}$

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No. of G.K. books⇒$7x$

$⇒7(1875)$

⇒${\boxed{\bf\green{13125\:books}}}$