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

Answer:

B 240

Step-by-step explanation:

Answer 2

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 = $\frac{3x}{4}$

And, the number of pages Philippe will read = $\frac{x}{2}$

Since, the total umber of pages = 540

$\implies x + \frac{3x}{4}+\frac{x}{2}=540$

$\implies \frac{4x}{4}+\frac{3x}{4}+\frac{2x}{4}=540$

$\implies \frac{4x+3x+2x}{4}=540$

$\implies \frac{9x}{4}=540$

$\implies 9x = 2160$

$\implies x = 240$

Hence, the number of pages Rafael read = 240 pages.

⇒ Option B is correct.