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 fourths of the number of pages Rafael reads, and Philippe will read 1 half of the number of pages that Rafael reads. How many pages will Rafael read?
Let Rafael read x pages. Denise reads 3/4 of x and Philippe reads 1/2 of x, so together they read x + 3/4x + 1/2x = 9/4x pages. Since the total is 540 pages, x = 540 × 4/9 = 240. Rafael will read 240 pages, choice C.
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