Question

a books has x pages. How many pages are in the book if Maria read 25 pages on Monday, 1/2 of the book on Tuesday, and the remaining 52 pages on Wednesday? PLEASE SHOW WORK

Answer 1

Answer:

144 pages.

Step-by-step explanation:

Given: Pages read on Monday= 25

           Pages read on Tuesday is 1/2 of total pages.

           Pages read on Wednesday is 52 pages.

           Total number of pages is "x".

Now, finding the value of "x".

First lets find the pages read on tuesday.

Pages read on tuesday= $\frac{1}{2} \times x= \frac{x}{2}$.

Next, we know total pages in the book is equal to pages read on different days of week.

∴ $x= 25+\frac{x}{2}+52$

⇒ x= $72+\frac{x}{2}$

subtracting $\frac{x}{2}$ on both side.

⇒ $x-\frac{x}{2} = 72$

⇒$\frac{x}{2} = 72$

Cross multiplying on both side.

∴x= $72\times 2= 144\ pages$

Hence, total pages in the book are 144.