00:01
Okay for this problem it says the enormous state university history department offers three courses ancient medieval and modern history and the chairperson is trying to decide how many sections of each to offer the department is loud is allowed to offer 39 sections total.
00:19
So i'm gonna write down my stuff where i remember it and there are 4 ,300 students who want to take one of the courses and there are 52 professors to teach them.
00:44
All right now, so we've got ancient which can have 100 students in each one and there's one professor medieval which can have 50 students and one professor and then modern can have 500 200 students you fix that 200 students and it takes two professors okay, so let's say this there are 39 sections offered now there's math to this because you know, i'm saying there's 39 and three courses, so i'm gonna put 13 in each for each course so there is math but a lot of its trial and error to you're gonna find that we're gonna be trying stuff and if it doesn't work, we're going to readjust and fix it and hopefully get it fixed but it is trial and error.
02:06
Okay, so we're gonna put 13 of each kind.
02:17
Okay.
02:17
So what does that give me that gives me? 1 ,300 students and 13 professors and this gives me 650 students and 13 professors and this gives me 2 ,600 students and 26 professors i gotta do things.
02:56
I got to do things the way i'm i got to keep myself organized 2 ,600 students and 26 professors okay, so we're going to see now how we're doing.
03:15
I know that the sections are right 1313 13 makes 39.
03:20
So let's see about our students.
03:23
We've got 1 ,300 and 650 and 2 ,600 let me get my calculator because i don't want to write a bunch of scratch stuff on here and then have to go out and erase it to have more space.
03:38
All right, so i've got 1 ,300 650 and 2 ,600 that is 45 50 students that's way too many and 13 13 and 26 is 52 professors so look that's right and the 39 sections are right so that tells me that i just need to make some of them have fewer students and look i can take first of all, let's take the let's take two of the sections that take 200 students.
04:22
So let's make that be 11 which would be 2 ,200 students and 22 professors.
04:33
All right, and if i take two of those i've got to add to somewhere else but i'm thinking that's gonna mess up my professors.
04:42
Let's see how we're gonna do this let's put yeah, i think that's gonna mess up my professors.
04:53
I might have to leave that one alone let's put those two right here.
04:57
So let's make that 15...