Klein read 30 pages of a book on Monday and 1/8 of the book on Tuesday. He completed the remaining 1/4 of the book on Wendesday. How many pages are there in the book?

Respuesta :

Answer:

Total number of pages in the book are 48.

Step-by-step explanation:

Let the total number of pages in the book = x.

On Monday, he read 30 pages.

On Tuesday, he read [tex]\frac{1}{8}[/tex] of the total pages i.e. [tex]\frac{x}{8}[/tex].

On Wednesday, he read the remaining [tex]\frac{1}{8}[/tex] of the total pages i.e. [tex]\frac{x}{4}[/tex].

So, we have the relation,

[tex]30+\frac{x}{8}+\frac{x}{4}=x[/tex]

i.e. [tex]\frac{240+x+2x}{8}=x[/tex]

i.e. [tex]240+3x=8x[/tex]

i.e. [tex]5x=240[/tex]

i.e. x= 48

Thus, the total number of pages in the book are 48.

Answer:

48 pages

Step-by-step explanation:

1. draw a bar model with 4 pcs

2. split each unit into 2 so you can label the 1/8

3. label the rest(5 units) "30 pages"

4. 30/5 =6

5. pcs total do 6x8=48