SOLUTION: There are 28 students in a mathematics class. If one-fourth of the students are called to the guidence office, one-third of the remaining students are called to the nurses office,

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Question 357586: There are 28 students in a mathematics class. If one-fourth of the students are called to the guidence office, one-third of the remaining students are called to the nurses office, and, finally, one-half of those left to go to the library, how many students remain in the classroom?
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Since "There are 28 students in a mathematics class" and "one-fourth of the students are called to the guidence office", this means that %281%2F4%2928=28%2F4=7 students are called to the guidence office. So there are 28-7=21 students left.


Since "one-third of the remaining students are called to the nurses office", we know that %281%2F3%2921=21%2F3=7 students are called to the nurses office. So there are 21-7=14 students left.


Finally, because "one-half of those left to go to the library", there are %281%2F2%2914=14%2F2=7 students who went to the library. So there are 14-7=7 students left in the class.