At the beginning of a class period, half of the students in a class go to the library. Later in the period, half of the remaining students go to the computer lab. If there are eight students remaining in class, how many students were originally in the class?

Answer:32 studentsStep-by-step explanation:We are given that at the beginning of a class period, half of the students in a class go to the library and half of the remaining to the computer lab.Given that there are 8 students remaining, we are to find the total number of students in the class initially.At beginning = [tex]x[/tex] studentsAfter half of them leave = [tex]\frac{x}{2}[/tex] studentsAfter half of the remaining leave = [tex]\frac{x}{4}[/tex] studentsSo, [tex]\frac{x}{4} = 8[/tex][tex]x=8\times 4[/tex]x = 32Therefore, there were 32 students in the class originally.