00:01
So in our problem that we're given, we're told that we need three teachers for every 50 students.
00:04
So let's imagine, to start with, we have 100 students.
00:08
So if we have 100 students, one thing we can do is we know that everything's happening in a ratio of 50 to 3.
00:15
So we could say three teachers for 50 students.
00:22
And we could set this up as an inequality or a ratio.
00:26
So we could say for every 3 over 50, i'm going to eliminate the teachers and students, remember that we have it here.
00:33
Is going to be equal to how many question mark teachers for 100 students? so we can cross multiply.
00:41
So we have 50 times our unknown and we have 100 times 3.
00:45
So we have 300 is equal to 50x.
00:51
Now all we have to do is divide both sides by 50.
00:54
So we're going to divide both sides by 50.
00:57
This is going to cancel out over here.
01:00
And what we're left with is 300 divided by 50.
01:03
And when we do 300 divided by 50, what we're going to get is six.
01:09
So we're left with six equals x...