After reading 3/4 of a book on Monday, 1/5 of the remainder on Tuesday and 10 pages on Wednesday. Jack still has 42 pages of the book left. How many pages did he read on Monday?

1 answer

Let's start by finding out how many pages Jack had left after reading 3/4 of the book on Monday.

If we let x be the total number of pages in the book, then Jack read:

3/4 x

pages on Monday.

This means he had:

x - (3/4)x = (1/4)x

pages left.

On Tuesday, he read 1/5 of this remaining amount, which is:

(1/5) * (1/4)x = (1/20)x

pages.

After Tuesday, he had:

(1/4)x - (1/20)x = (1/5)x

pages left.

Finally, on Wednesday, he read 10 pages, leaving him with:

(1/5)x - 10 = 42

pages.

Solving for x, we get:

(1/5)x = 52

x = 260

So the total number of pages in the book is 260.

To find out how many pages Jack read on Monday, we just need to substitute x = 260 into the equation we found earlier:

3/4 x = 3/4 * 260 = 195

So Jack read 195 pages on Monday.