question_answer

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:

Let the number of books in Mathematics be x. It is given that Number of Mathematics books: Number of Science books = Number of Science books: Number of Hindi books                                                                                   \[\Rightarrow \] \[x:450=450:300\]                                                                                                                   \[\Rightarrow \] \[300\times x=450\times 450\] \[\Rightarrow \] \[x=\frac{450\times 450}{300}\]                                                                                                                                 \[\Rightarrow \] \[x=675\] Hence, the number of Mathematics books in the library is 675.