Question

Serah and Ashley are reading the same book. Serah is on page 14 and reads 2 pages every night. Ashley is on page 6 and reads 3 pages every night. After how many nights will they have read the same number of pages? How many pages will that be?

Answer 1

Serah and Ashley will have read the same number of pages, which will be 30 pages, after 8 nights.

Step-by-step explanation:

Serah and Ashley are reading the same book. Serah starts on page 14 and reads 2 pages every night, while Ashley starts on page 6 and reads 3 pages every night. To solve when they will have read the same number of pages, we can set up a simple algebraic equation where the number of nights is 'n'.

For Serah, the number of pages read after 'n' nights would be:
14 + 2n

For Ashley, the number of pages read after 'n' nights would be:
6 + 3n

We then set these equal to each other to find when they will have read the same number of pages:
14 + 2n = 6 + 3n

To solve for 'n', we subtract 2n from both sides:
14 = 6 + n

Then we subtract 6 from both sides to get:
n = 8

After 8 nights, they will have read the same number of pages, which would be:
14 + 2(8) = 30 pages for Serah
6 + 3(8) = 30 pages for Ashley