All but 1/16 of students participated in “Family Fun Night” activities. If a total of 405 students were involved in the evening’s activities, how many students attend the school?

Question

All but 116of the students enrolled at a particular elementary school participated in “Family Fun Night” activities. If a total of 405 students were involved in the evening’s activities, how many students attend the school?

Answer 1

(15/16) X = 405

x = 405*16/15

= 432

(1/16) of 432 = 27

did not participate

432-27 = 405 that participated

405/432 = 15/16 <-- gcf is 27