Question

Makaila read 44 pages of her book yesterday and 2/3 of the book today. If she read a total of 200 pages in the past two days how many pages does the book have in all

Answer 1

Total number of pages in the book is 234.

Explanation:

Let us assume that the total number of pages in the book = x

Now, it is given that Makaila read 44 pages yesterday.

Also, Makaila read two-third of the book today. As we have assumed that, there are a total of x number of pages in the book, so we can say that Makaila read two-third of x number of pages today.

Number of pages read by Makaila today =
`(2)/(3)\;of\;x=(2)/(3)*\;x=(2x)/(3)`

Now, it is also given that, Makaila read a total of 200 pages in the past two days.

∴ according to question,

Pages read yesterday + Pages read today = 200

⇒
`44+(22x)/(3)=200`

⇒
`(44*3+2x)/(3)=200`

⇒
`(132+2x)/(3)=200`

⇒
`132+2x=200*3\;\;\;\;\;\;\;\;\;[On\;cross-multiplying]`

⇒
`132+2x=600`

⇒
`2x=600-132`

⇒
`2x=468`

⇒
`x=(468)/(2)=234`

∴ Total number of pages in the book = x = 234