Eighty percent of the students in a class (group A) share 40% of the candy equally. The remaining 20% of the students (group B) share the other 60% of the candy equally. The ratio of the amount of candy a student in group A has to the amount of candy a student in group B has is equal to what common fraction?

Answer:1/6Step-by-step explanation:There is x candy in total and y students in total.Group A consists of 0.8y students, and group B consists of 0.2y students.Group A gets 40% of x, or 0.4x. Each student in group A gets 0.4x/(0.8y) = 0.5x/y candy per person.Group B gets 60% of x, or 0.6x. Each student in group B gets 0.6x/(0.2y) = 3x/y candy per person.The ratio of candy each student in group A has to the amount of candy each student in group B has is:(0.5x/y)/(3x/y) = 0.5/3 = 1/6