Question

Mariabella was 1/4 of the way through her book. Twenty pages later she was 1/3 of the way through her book. When she is 3/4 of the way through her book, how m any pages are left?

Answer 1

Answer: 60 pages left.

Step-by-step explanation:

Let the number of pages in the book be x.

As per given, we have

$\dfrac14x+20=\dfrac13x\\\\\Rightarrow\ \dfrac{1}{3}x-\dfrac14 x=20\\\\\Rightarrow\ \dfrac{4-3}{12}x=20\\\\\Rightarrow\ \dfrac1{12}x=20\\\\\Rightarrow x=20\times12\\\\\Rightarrow x=240$

$\dfrac34$ of total book = $\dfrac34\times 240=180$

Pages left = 240-180

= 60

Hence, 60 pages left.