For every 6 pages in a book that timmy reads , suzie reads 8 pages . in 1 hour they read a combined total of 56 pages how many pages did suzie read
answer asap

Suzie read 32 pages

Step-by-step explanation:

Step 1:  set up 2 equations

"for every 6 pages in a book that timmy reads , suzie reads 8 pages' and they read a combined total of 56 pages...this becomes

Let t = the number of pages timmy read, and

let s = the number of pages suzie read

Equation 1:

t + s = 56    (timmy's effort plus suzie's effort was 56 pages)

Equation 2:

8t = 6s,     (for every 6 pages timmy read, suzie read 8)

***The reason it is written this was is because you can write a different...

timmy reads 6 pages to suzies 8 pages, so timmy reads 6 out of 8 pages that suzie read, we can write that as...

t = 6s/8    or t =  (3/4)s      'timmy ready 3/4 as many pages a  suzie'          

Step 2:  solve they system

One way to do this is to solve the second equation for one of the variables, and plug that into the first equation...

8t = 6s    becomes      t = 6s/8,   (solved for t by dividing by 8)

    this simplifies to t = 3s/4       now plug that into the first equation to solve...

t + s = 56    becomes    3s/4 + s = 56    (t became 3s/4)

now solve..

3s/4 + 4s/4 = 56    (common denominator)

    7s/4 = 56          (combine like terms)

       7s = 224     (multiply both sides by 4 to get rid of the fraction)

         s = 32       (divide both sides by 7 to isolate s)