In a group of 100 students, 32 are taking AP Calculus, 29 are taking AP History, and 28 are taking AP Statistics. In addition, 12 are taking both Calculus and Statistics, 11 are taking History and Statistics, and 9 are taking Calculus and History. 5 students are taking all three subjects. How many students are not taking any AP classes?

Question

texaschic101 · Answer

doing a venn diagram, I cam up with 38 people that do not take any AP classes http://easycalculation.com/algebra/venn-diagram-3sets.php

texaschic101 · Answer

oops..typo...came up with

radar · Answer

Not sure what the expression "In addition" is implying!  How many are taking calculus??? 
Is it 32, or 32+12+9+5 ??

texaschic101 · Answer

I took it as a total of 32 people taking calculus

radar · Answer

That would make it a more reasonable problem, and the Venn diagram is the way to go.

radar · Answer

I still don't think I could solve it|dw:1384447406625:dw|

texaschic101 · Answer

use this...it helps http://easycalculation.com/algebra/venn-diagram-3sets.php

radar · Answer

|dw:1384447541277:dw|