ben reads 1/10 of a book on monday and 1/3 of three remainder on tuesday.He reads the remaining 120 pages on wednesday.How pages did he read on tuesday?

Question

this is fraction

Answer 1

Let x = book size

 

  Monday       +         Tuesday                   +     Wednesday     =     Whole book

  (1/10)x       +   (1/3)( x - (1/10)x) )        +      120             =  x

  (1/10)x       + (1/3)( (9/10)x )                +      120              = x

  (1/10)x      +   (3/10)x                        + 120                   = x       (divide 3 into 9)

 

             (4/10)x + 120 = x                           (collect terms)

             120 = x - (4/10)x                    (subtract (4/10x from both sides)

             120 = (6/10)x                       (collect terms)

            200 = x                             (multiply both sides by (10/6) )

 

On Tuesday, (3/10)x = (3/10)(200) = 60 pages

Answer 2

Hi Ridhima,

 

Monday = 1/10 book

Tuesday = 1/3 of 9/10 book since it's 1/3 of remainder

Wednesday - remaining 120 pages

 

Let's restate Tuesday's reading = (1/3) (9/10) = 3/10

 

So the Monday and Tuesday readings total 4/10 of book

 

This means that the remaining 120 pages read on Wednesday represented 6/10 (60%) of the book.

 

From here we can determine the total pages in the book.

 

  120                10

------- = 120 • ---- = 200 total pages

(6/10)              6

 

If 3/10 of the book was read on Tuesday,

 

(200)(3/10) = 60