Answer:
Suzie read 32 pages
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)