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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.

Public Comments

1. 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.