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All the students who participated in the NE show took a survey on the segment of the show they enjoyed the most. 3/7 of the students plus 8 students enjoyed the fireworks, 1/4 of the remainder enjoyed the singing performances and the remaining 36 students enjoyed the march. How may student wet to the NE show?
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1 Answer

If n is the number of students, 3n/7+8 enjoyed the fireworks.

That leaves n-(3n/7+8)=4n/7-8.

A quarter of these is n/7-2, the number who enjoyed the singing.

The number of students remaining is 36=n-(3n/7+8+n/7-2),

36=n-4n/7-6

36=3n/7-6,

42=3n/7,

14=n/7, n=98. There were 98 students in the survey.

by Top Rated User (1.2m points)

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