Thread: Solving systems of equation

How would you even start to solve this problem

How would you even start to solve this problem

How would you even start to solve this problem

Just the same way as before. Find t as before and then insert that into the first equation. Now it is quite easy.

Originally Posted by asilvester635

Well this was my original question ...

For you and all other problem posters ... note the importance of posting the entire question from the start.

How did you get 294, 164, 90, and 184?? I mean i get how the other guy got 201, 180 220, and 420.... ?????????

I collected like terms. If you are given x + y + 3 + 7 + 12 = 23, wouldn't you want to rewrite it as x + y = 1?

x+10+y+36+t+z+80=420
-10 -36 -80
x+y+t+z=294 (we already know that y+z=90)
-y -z -90
x+t=204 (We already know that t=94)
-t -94
x=110

So now, since 210 people are enrolled in Computers, and we already know three out of the 4 computer slots in the venn diagram circle:
210-110-36-10=z
z=54 (that's your answer for how many students are taking all three courses)

Finally, you can do one of 5 things to figure y out:
1) solve for y in the equation with all of the variables equaling 420
x+10+y+36+z+80=420
x+y+t+z=294
y=294-110-94-54

2) Solve for y soley by using the rest of the fine arts numbers.
Total Fine Arts Students: 180
180-80-10-54=y

3) Do the same thing as above, but for Economics:
Total Eco Students: 220
220-94-54-36=y

4) Use the mini equation that we came up with z+y+t=184
z equals 54, & t=94 so
184-54-94=y

5) Use the OTHER mini equation z+y=90
z=54 so
90-54=y

So,
1. 94/500
2. 36/500
3. 54/500