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.

Explanation:

Let the number of pages in the book be x.

As per given, we have

`\frac14x+20=\frac13x\\\\\Rightarrow\ (1)/(3)x-\frac14 x=20\\\\\Rightarrow\ (4-3)/(12)x=20\\\\\Rightarrow\ \frac1{12}x=20\\\\\Rightarrow x=20*12\\\\\Rightarrow x=240`

`\frac34` of total book =
`\frac34* 240=180`

Pages left = 240-180

= 60

Hence, 60 pages left.