Question

On the first day of vacation, you read one-quarter of a novel. On the second day, you read half of the remaining pages. On the third day, you read the last 138 pages of the novel. How many pages does the novel have?
How many pages did you read by the end of the second day?

Answer 1

novel has 138 pages I read in the end of the second day is remaining part

Answer 2

Given:

On the first day of vacation, you read one-quarter of a novel.

On the second day, you read half of the remaining pages.

On the third day, you read the last 138 pages of the novel.

To Find:

How many pages does the novel have?

How many pages did you read by the end of the second day?

Solution:

Let x be the number of pages

We are given that On the first day of vacation, you read one-quarter of a novel.

She read pages on first day = $\frac{x}{4}$

Remaining pages =$x-\frac{x}{4}=\frac{3x}{4}$

We are given that On the second day, you read half of the remaining pages.

No. of pages read on second day =$\frac{1}{2}(\frac{3x}{4})=\frac{3x}{8}$

Remaining pages =$\frac{3x}{4}-\frac{3x}{8}=\frac{3x}{8}$

We are given that On the third day, you read the last 138 pages of the novel.

So,$\frac{3x}{8}=138\\x=\frac{138 \times 8}{3}$

x=368

So, The novel has 368 pages

No. of pages read on second day=$\frac{3}{8}x=\frac{3}{8}(368)=138$

So, You read 138 pages on second day .