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Anne and Willow are reading the copy of the same magazine for an assignment.

-Anne has already read 14 pages. Anne reads 20 pages per day until the magazine is finished.

-Willow has ready read 8 pages. Willow reads 22 pages per day until the magazine is finished.

One day, the two women noticed that they are on the same page. What page number are they on when they have read the same amount of magazine?

Respuesta :

calculista

Answer:

Page number 74

Step-by-step explanation:

Let

x ---> the number of days

y ---> the number of pages read

we know that

The linear equation in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have

Anne

The slope is equal to

[tex]m=20\ \frac{pages}{day}[/tex]

The y-intercept is equal to

[tex]b=14\ pages[/tex]

substitute

[tex]y=20x+14[/tex] ----> equation A

Willow

The slope is equal to

[tex]m=22\ \frac{pages}{day}[/tex]

The y-intercept is equal to

[tex]b=8\ pages[/tex]

substitute

[tex]y=22x+8[/tex] ----> equation B

equate equation A and equation B

[tex]22x+8=20x+14[/tex]

solve for x

[tex]22x-20x=14-8\\2x=6\\x=3\ days[/tex]

Find the value of y

substitute the value of x in equation A or equation B

equation A

[tex]y=20(3)+14=74\ pages[/tex]

equation B

[tex]y=22(3)+8=74\ pages[/tex]