Question

Daniel and Audrey are reading the same book. At the beginning of the month, Daniel was on page 49 and Audrey was on page 22. Daniel will read 17 pages per day and Audrey will read 20 pages per day. Let D represent the page of the book that Daniel is on at the end of t days into the month, and let A represent the page of the book that Audrey is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine what page Daniel and Audrey will be on on the day they are both on the same page.

Answer 1

Answer:

9 days

Step-by-step explanation:

First, write the equation for Daniel's situation:

D = 17t + 49

Then, write the equation for Audrey's situation:

A = 20t + 22

Then, set these equations equal to each other and solve for t to find when they will be on the same page:

17t + 49 = 20t + 22

Solve for t:

17t + 49 = 20t + 22

49 = 3t + 22

27 = 3t

9 = t

So, they will be on the same page 9 days into the month.