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In a certain electronic factory, the ratio of the number of male to female workers is 2:3. If one hundred new female workers are hired, the number of female workers will increase to 68% of the total number of workers. Find the original number of workers in the factory.

Solve by factoring and using the principle of zero products. Twenty more than the square of a number is twelve times the number. Find all such numbers.

College A has 4,000 students. Of these 1/8 are full time students. Of the full time students 3/10 are in favor of having a soccer team. Of the students that are not full time, 4/5 are in favor of having a soccer team. How many students are not in favor of having a...