Question

Dominick reads 7 pages a day and is on page 23. Catie reads 8 pages a day and is on page 15. Write and solve an equation to represent the situation. Let d represent the number of days. After how many days will they be on the same page? What page will they be on?

Answer 1

Dominick and Catie will be on the same page after 8 days, and the page they will be on is page 79.

Step-by-step explanation:

Let's write an equation to represent the situation. For Dominick, the number of pages read after d days will be 7d + 23. For Catie, it will be 8d + 15. We want to know after how many days they will have read the same number of pages, so we set the two expressions equal to each other:

7d + 23 = 8d + 15

Now, we solve for d. Subtracting 7d from both sides, we get:

23 = d + 15

Subtracting 15 from both sides, we get:

d = 8

So, after 8 days they will be on the same page. To find out what page they will be on, we use either of the original equations. Let's use Dominick's:

7(8) + 23 = 79

Therefore, after 8 days, they will both be on page 79.