Question

Olivia reads 2/5 of her book on Monday and on Tuesday she reads 1/6 of what is remaining and then on Wednesday she reads the final 35 pages. So how many pages are in the book

Answer 1

Explanation:

Here's what we know:

1/6 + 2/5 + x = 1 (the fractions read plus the 60 pages (currently an unknown fraction) makes one whole book)

First we need a common denominator. LCD is 30:

5/30 + 12/30 + x = 1

18/30 + x = 1

Subtract:

x = 30/30 - 18/30

x = 12/30

Now we have an equivalency. 60 pages out of the whole book is equal to 12/30. Or:

60/y = 12/30

Cross multiply:

60 * 30 = 12y

Divide both sides by 12:

60 * 30 / 12 = y

Factor out a 6:

10 * 30 / 2 = y

Factor out 2:

10 * 15 = y

150 = y

There are 150 pages in the book.

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