Question

Arnav reads 3/5 of a book in 5 days and 1/15 of the remainder on the 6th day. If he still has 150 pages to read to complete the book, what could bethe number of pages of that book? *please explain*​

Answer 1

To find the number of pages in the book, set up equations to represent the fractions of the book read by Arnav. Then solve the equations to find the unknown values.

Step-by-step explanation:

To solve this problem, we can start by finding out how many pages Arnav reads in the first 5 days. Since Arnav reads 3/5 of the book in 5 days, we can set up the equation (3/5)x = 5, where x represents the total number of pages in the book. We can multiply both sides of the equation by 5 to solve for x, giving us x = 5 * (5/3) = 25/3.

Next, we need to find out how many pages Arnav read on the 6th day. Since he read 1/15 of the remainder, we can set up the equation (1/15)(25/3 - r) = 150, where r represents the number of pages Arnav has already read. We can solve this equation to find the value of r. Once we have r, we can determine the total number of pages in the book by adding r to 150.

So, the number of pages in the book is (25/3) + r + 150.

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