Kaylee and Josiah are reading the same book. At the beginning of the month, Kaylee was on page 24 and Josiah was on page 50. Kaylee will read 16 pages per day and Josiah will read 14 pages per day. Let K K represent the page of the book that Kaylee is on at the end of t t days into the month, and let J J represent the page of the book that Josiah is on at the end of t t days into the month. Write an equation for each situation, in terms of t , t, and determine what page Kaylee and Josiah will be on on the day they are both on the same page.

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Answer:

They'll be on page 72

Step-by-step explanation:

Kaylee:

Current page = 24

Page per day = 16

Page, K, Kaylee is on at end of t days

K = current page + (page per day * Number of days)

K = 24 + 16t

Josiah:

Current page = 50

Page per day = 14

Page, J, Josiah is in at the end of t days

J = current page + (page per day * Number of days)

J = 50 + 14t

To be on the same page ;

K = J

24 + 16t = 50 + 14t

24 - 50 = 14t - 16t

- 26 = - 2t

t = 13

After 13 days, they'll be on same page :

K = 24 + 16(13)

K = 24 + 48

K =72

They'll be on page 72