Answer: B. 240
Step-by-step explanation:
Let x be the number of pages Rafael read,
According to the question,
Number of pages Denise will read = [tex]\frac{3x}{4}[/tex]
And, the number of pages Philippe will read = [tex]\frac{x}{2}[/tex]
Since, the total umber of pages = 540
[tex]\implies x + \frac{3x}{4}+\frac{x}{2}=540[/tex]
[tex]\implies \frac{4x}{4}+\frac{3x}{4}+\frac{2x}{4}=540[/tex]
[tex]\implies \frac{4x+3x+2x}{4}=540[/tex]
[tex]\implies \frac{9x}{4}=540[/tex]
[tex]\implies 9x = 2160[/tex]
[tex]\implies x = 240[/tex]
Hence, the number of pages Rafael read = 240 pages.
⇒ Option B is correct.
