Of the 2300 delegates at a political convention 1542 voted


Question: [BB] Of the 2300 delegates at a political convention, 1542 voted in favor of a motion to decrease the deficit, 569 voted in favor of a motion dealing with environmental issues, and 1197 voted in favor of a motion not to increase taxes. Of those voting in favor of the motion concerning environmental issues, 327 also voted to decrease the deficit, and 92 voted not to increase taxes. Eight hundred and thirty-nine people voted to decrease the deficit while also voting against increasing taxes, but of these 839, only 50 voted also in favor of the motion dealing with the environment.

(a) How many delegates did not vote in favor of any of the three motions?

(b) How many of those who voted against increasing taxes voted in favor of neither of the other two motions?

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Mathematics: Of the 2300 delegates at a political convention 1542 voted
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