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, 17 take only Biology, 6 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?	Answers:
A) 64
B) 32
C) 36
D) 48
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 64rt and one other class)   b = 3e (people who take only 64rt is 3 times the people who take Bio and Calculus)   17 + 6 + 5 + b + d + e + f = 100 (Total people)   b + b/3 = 52   b = 39   Number of freshmen who take 64rt = 39 + 20 + 5= 
<gadget id="calculator">39 + 20 + 5</gadget>
<output>64</output>
64   64nswer 64
<result>A</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, 17 take only Biology, 6 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?