There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 21 take only Biology, 10 take only Calculus, 5 take all three classes, and 20 take Art and exactly one of the other two core classes. If the number of freshmen who take only Art is 3 times the number of freshmen who take every core class except Art, how many freshmen take Art?  Choices.
A) 25
B) 32
C) 36
D) 58
E) 61
Make a venn diagram to get a clear picture. Look at the diagram:   Each letter represents only one color. b represents the people who take only Art. d represents people who take only Art and Bio etc.   d + f = 20 (People who take Art and one other class)   b = 3e (people who take only Art is 3 times the people who take Bio and Calculus)   21 + 10 + 5 + b + d + e + f = 100 (Total people)   b + b/3 = 44   b = 33   Number of freshmen who take Art = 33 + 20 + 5= 
<gadget id="calculator">33 + 20 + 5</gadget>
<output>58</output>
58   Answer 58
<result>D</result>
There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 21 take only Biology, 10 take only Calculus, 5 take all three classes, and 20 take Art and exactly one of the other two core classes. If the number of freshmen who take only Art is 3 times the number of freshmen who take every core class except Art, how many freshmen take Art?