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

Explanation:

Answer 2

Answer: B. 240

Explanation:

Let x be the number of pages Rafael read,

According to the question,

Number of pages Denise will read =
`(3x)/(4)`

And, the number of pages Philippe will read =
`(x)/(2)`

Since, the total umber of pages = 540

`\implies x + (3x)/(4)+(x)/(2)=540`

`\implies (4x)/(4)+(3x)/(4)+(2x)/(4)=540`

`\implies (4x+3x+2x)/(4)=540`

`\implies (9x)/(4)=540`

`\implies 9x = 2160`

`\implies x = 240`

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

⇒ Option B is correct.