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.
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