Question

Sabina and Lou are reading the same book. Sabina reads 12 pages a day. She had read 36 pages when Lou started the book, and Lou reads at a pace of 15 pages per day. If their reading rates continue, will Sabina and Lou ever be reading the same page on the same day? Explain.

Answer 1

Yes,

12 days after Lou starts reading, they'll be on the same page

Explanation:

36 is already read, 12 per day

36 + 12d

15 per day

15d

36 + 12d = 15d

3d = 36

d = 12

Answer 2

On the 12th day after Lou starts they will be reading the same page

Explanation:

Sabrina:

Write the equation for sabrina starting today

36+12d

Lou

Write the equation for lou

15d

Set them equal

36+12d = 15d

Subtract 12d from each side

36+12d-12d = 15d-12d

36 = 3d

Divide by 3

36/3 = 3d/3

12 =d

On the 12th day after Lou starts they will be reading the same page