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 = 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 = [tex]\frac{2}{3}\;of\;x=\frac{2}{3}\times\;x=\frac{2x}{3}[/tex]
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
⇒[tex]44+\frac{22x}{3}=200[/tex]
⇒[tex]\frac{44\times3+2x}{3}=200[/tex]
⇒[tex]\frac{132+2x}{3}=200[/tex]
⇒[tex]132+2x=200\times3\;\;\;\;\;\;\;\;\;[On\;cross-multiplying][/tex]
⇒[tex]132+2x=600[/tex]
⇒[tex]2x=600-132[/tex]
⇒[tex]2x=468[/tex]
⇒[tex]x=\frac{468}{2}=234[/tex]
∴ Total number of pages in the book = x = 234
