Question

Rafael, Denise, and Philippe are doing a project together. They decide to base the project on a book that is 540 pages long. Rafael plans to read a certain number of pages. Denise will read 3/4 of the number of pages Rafael reads, and Philippe will read 1/2 of the number of pages that Rafael reads. How many pages will Rafael read?

A. 180 B.240 C.300 D.432

Answer 1

B.240, because 240+180+120=540

Answer 2

Answer: B. 240

Explanation:

Let the number of pages read by Rafael be 'x'.

Then, The number of pages read by Denise =
`(3)/(4)x`

The numb er of pages read by Philippe =
`(1)/(2)x`

According to the question :-

`x+(3)/(4)x+(1)/(2)x=540\\\\\Rightarrow (4x+3x+2x)/(4)=540\\\\\Rightarrow (9x)/(4)=540\\\\\Rightarrow x=(540*4)/(9)\\\\\Rightarrow x=240`

The number of pages read by Rafael =240