Students were surveyed about their favorite colors 1/4 of the students preferred read 1/8 of the students preferred blue and 3/5 of the remaining students were for green if 15 students prefer green how many students were surveyed

Answer: the number of students that were surveyed is 40Step-by-step explanation:Let x = total number of students that were surveyed about their favorite colors 1/4 of the students preferred red.This means that the number of students that preferred red is 1/4 × x = x/41/8 of the students preferred blue.This means that the number of students that preferred blue is 1/8 × x = x/8The remaining number of students will be the total number of students - the sum of the number of students that preferred red and the number of students that preferred blue. It becomesx - (x/4 + x/8) = x - 3x/8 = 5x/83/5 of the remaining students were for green. This means that the number of students that preferred green is 3/5 × 5x/8 = 3x/8 if 15 students prefer green, then 3x/8 = 153x = 120x = 120/3 = 40 students