Thursday, January 27, 2011

How many mathematics professors invested in stocks and bonds and certificates of deposit?



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Question by Mike P: How many mathematics professors invested in stocks and bonds and certificates of deposit?

Most mathematics professors love to invest their hard earned money. A recent survey of 150 math professors revealed that

111 invested in stocks;
98 invested in bonds;
100 invested in certificates of deposit;
80 invested in stocks and bonds;
83 invested in bonds and certificates of deposit;
85 invested in stocks and certificates odeposit;
9 did not invest in any of the three.




Best answer:


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Answer by LARRY R
use a Venn diagram to help solve this problem. Make 3 circles intersecting and fill in the spaces with numbers that satisfy the info that is given you. For example, you must have a total of 111 in the stocks circle, a total of 80 in the intersection of the stocks and bonds circles, etc. Good luck.





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