Question

Students were surveyed about their favorite colors 1/4 of the students preferred, red 1/8 of the students preferred blue and 3/5 of the remaining students preferred green. If 15 students preferred green, how many students were surveyed

Answer 1

Let x be the total number of students.

The total of red + blue = x/4 + x/8
The remaining will be : x - x/4 -x/8
But we know the green at 3/5 of the remaining, so the green = 3/5(x - x/4 -x/8)
We also know that 3/5(x - x/4 -x/8) = 15
Solve this equation: and you will find x = 40 (number of students)