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mel-nik [20]
3 years ago
7

Rafael, Denise, and Philippe are doing a project together. They decide to base the project on a book that is 540 pages long. Raf

ael 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
Mathematics
2 answers:
Sholpan [36]3 years ago
7 0

Answer:

B 240

Step-by-step explanation:

Hitman42 [59]3 years ago
6 0

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.

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