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 Three-fourths of the number of pages Rafael reads, and Philippe will read One-half of the number of pages that Rafael reads. How many pages will Rafael read? 180 240 300 432

Answer 1

Answer:

240

Step-by-step explanation:

Let us assume Rafael reads 'x' number of pages.

⮕ Denise will read 3/4 of the number of pages Rafael reads.

The number of pages that'll be read by Denise = 3x/4

⮕ Philippe will read 1/2 of the number of pages Rafael reads.

The number of pages that'll be read by Philippe = x/2

The total number of pages in the book = 540

$\rm x+\dfrac{3x}{4}+\dfrac{x}{2}=540 \\\\ \rm x\bigg(1+\dfrac{3}{4}+\dfrac{1}{2}\bigg)=540 \\\\ \rm x\bigg(\dfrac{4+3+2}{4}\bigg)=540 \\\\ \rm x\bigg(\dfrac{9}{4}\bigg)=540 \\\\ \rm x=540 \times \dfrac{4}{9} \\\\ \rm x=60 \times 4 \\\\ \rm x=240$

∴ Rafael will read 240 pages in the book.

Answer 2

Answer:240

Step-by-step explanation:my credits "snehitha2"