emily has already read 16 pages. emily reads 22 pages per day until book is finished. lily has read 24 pages. lily reads 18 pages per day until the book is finished. what page number are they on when they have read the same amount of the book?

Respuesta :

Answer:

page # 60

Step-by-step explanation:

16+22x=24+18x

x=2

16+22(2)=60        24+18(2)=60

They are on 60 pages each when they have read the same amount of the book.

Given:

number of pages already read by emily = 16 pages

rate of emily's reading = 22 pages per day

number of pages already read by lily = 24 pages

rate of lily's reading = 18 pages per day

To find:

  • their current page number when they read the same amount of book.

Let the day they will read the same amount of book = y days

We will set up the following linear equations;

number of pages read by emily = number of pages read by lily

16 + 22y = 24 + 18y

to simplify the equation, collect like terms;

22y - 18y = 24 - 16

4y = 8

y = 8/4

y = 2

The page number each has read = 16 + 22(2)

                                                       = 16 + 44

                                                       = 60 pages

Thus, they are on 60 pages each when they have read the same amount of the book.

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