Question

In a school library,the ratio of mathematics books to science books is the same as the ratio of science books to Hindi books. If there are $450$ books in Science and $300$ books in Hindi, find the number of books in mathematics.

Answer 1

No. of science books $=450$

No. of hindi books $=300$

Ratio of science books to hindi books $=450:300$

$=\frac{450}{330}=3:2$

Let no. of Mathematics books $=x$

Ratio of Maths to Science books $=x:450=3:2$

$=\frac{x}{450}=\frac{3}{2}$ [Cross multiply]

$=2x=3\times 450$

$\therefore x=\frac{3\times 450}{2}$

$x=675$

$\therefore$ No. of Maths books $=x=675$.