A lunatic professor decides to structure his class in the following way: Test are worth 40 percent, pop-quizzes are worth 20 percent, homework 15 percent, and the final worth 25 percent. A student is worried that pop-quizzes will drag her grade down but she is confident about doing good on the rest of the categories. She reasons that she can achieve the following averages on the categories: Test: 78, Homework: 98, Final, 100. How well does she have to perform on the pop-quizzes to end up with at least a B+ (87%) on the class?
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