1/4 of students prefer red, 1/8 of students prefer blue, and 3/5 of remaining students prefer green. if 20 students prefer green how many students are there?
Number of students preferring red = x/4 Number of students preferring blue = x/8 Then.............. Number of students remaining = x - [(x/4) + (x/8)] =x - [(2x + x)/8) = x - (3x/8) = (8x - 3x)/8 = 5x/8 Number of students preferring the color green = (3/5) * (5x/8) = 3x/8 We also know that the total number of students preferring the color green is 15. So.. 3x/8 = 15 3x = 15 * 8 x = (15 * 8)/3 = 5 * 8 = 40 So the total is 40 students
