Question

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?
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.

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