Question

A school library has $130$ books on each of its bookshelves. The following table shows the fraction of different types of books on the first bookshelf. The second bookshelf has $\frac{2}{13}$ more storybooks than the fraction of storybooks on the first bookshelf. How many storybooks are there on the second bookshelf?

• A. $\frac{8}{13}$
• B. $10$
• C. $70$
• D. $\frac{9}{13}$

Answer 1

The correct option is C $70$

Fraction of math and science books on the first bookshelf $=\frac{5}{13}+\frac{3}{13}=\frac{8}{13}$
To calculate the fraction of storybooks on the first shelf, we need to subtract the fraction of math and science books on first shelf from $1$, as $1$ represents the whole, i.e., the entire bookshelf.
Fraction of storybooks on the first bookshelf $=1–\frac{8}{13}=\frac{13}{13}-\frac{8}{13}=\frac{5}{13}$

Given, the second bookshelf has $\frac{2}{13}$ more storybooks than the fraction of storybooks on the first bookshelf.
Fraction of storybooks on the second bookshelf $=\frac{5}{13}+\frac{2}{13}=\frac{7}{13}$
Number of storybooks on the second bookshelf $=\frac{7}{13}\times 130=70$
Therefore, there are $70$ storybooks on the second bookshelf.