Question

Students were surveyed about their favorite colors, ¼ 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 total no. of student surveyed be x
no.of students preferred red=1/4 of x
no.of students preferred blue=1/8 of x
no.remaining students=x-((1/4)x+(1/8)x)=5/8 of x
no.of students preferred green=3/5*(5/8)x=15
=(3/8)x=15
=3x=15*8
=x=120/3
=x=40
total no.of students surveyed=40