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, 10 take only Calculus, 9 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? Choose the correct choice from the following options.
A) 25 B) 32 C) 36 D) 48 E) 62
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)   17 + 10 + 9 + b + d + e + f = 100 (Total people)   b + b/3 = 44   b = 33   Number of freshmen who take Art = 33 + 20 + 9= 
<gadget id="calculator">33 + 20 + 9</gadget>
<output>62</output>
62   Answer 62
<result>E</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, 10 take only Calculus, 9 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?