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kakasveta [241]
3 years ago
5

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
Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

Total number of pages in the book is 234.

Step-by-step explanation:

Let us assume that the total number of pages in the book = <em>x</em>

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 <em>x </em>number of pages today.

Number of pages read by Makaila today = \frac{2}{3}\;of\;x=\frac{2}{3}\times\;x=\frac{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+\frac{22x}{3}=200

⇒\frac{44\times3+2x}{3}=200

⇒\frac{132+2x}{3}=200

⇒132+2x=200\times3\;\;\;\;\;\;\;\;\;[On\;cross-multiplying]

⇒132+2x=600

⇒2x=600-132

⇒2x=468

⇒x=\frac{468}{2}=234

∴ Total number of pages in the book = <em>x</em> = 234

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