Give the step-by-step reasoning process and then the final answer. Ms. Cole teaches math in three levels of classes in her school. There are four times as many students in Ms. Cole's fourth-level math class as in her sixth-level math class. The number of students in her seventh-level math class is twice that in the fourth-level math class. If Ms. Cole's sixth-level class has 40 students, how many math students does Ms. Cole teach?
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Since Ms. Cole's sixth - level math class has 40 students and four times as many students in her fourth - level class, there are 4 * 40 = 160 in her fourth - level math class. For the two levels, Ms. Cole teaches math to 160 + 40 = 200 students. If the number of students in her seventh - level math class is twice that in the fourth - level math class, then she teaches 2 * 160 = 320 students in the seventh - level math class. Ms. Cole teaches 320 + 200 = 520 math students in the school.
The final answer: 520.
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