Hi!
Thanks for your question. Let's take a look at it....
First, if 85% liked the mystery stories, then we know that 15% did not (100% - 85% = 15%).
Next, we need to know how many total students were listening to the story. We can let "x" be the total number of students such at 15% of x = 30 students (students that didn't like the stories). We can convert 15% to the decimal 0.15 and then do the calculation to find the total number of students: :
0.15x = 30
.... to solve for "x" we will need to divide both sides by "0.15" and get:
x = 200
... so a total of 200 students came to listen to the mystery stories
... and we know 30 did not like the mystery stories
... so how many did like it?
Total number Total number Total number
who listened who didn't like it who did like it
200 - 30 = 170
We can check this by calculating what is 85% (which is the percentage that did like it ) of the total number of students that came (2000:
0.85 x 200 170
Yay! Our check checked out!
Hope this helps!
Lorie Soliwoda-Truong
