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

Step-by-step explanation:

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

Then, The number of pages read by Denise =$\frac{3}{4}x$

The numb er of pages read by Philippe =$\frac{1}{2}x$

According to the question :-

$x+\frac{3}{4}x+\frac{1}{2}x=540\\\\\Rightarrow \frac{4x+3x+2x}{4}=540\\\\\Rightarrow \frac{9x}{4}=540\\\\\Rightarrow x=\frac{540\times4}{9}\\\\\Rightarrow x=240$

The number of  pages read by Rafael =240