Five-eighths of the votes were blue, 5/9 of the remaining votes were for green, and the remaining 48 votes were for red. How many votes were for blue? How many votes were for green?

Question

riverside elementry school is holding a school-wide election to choose a school color. Five-eighths of the votes were blue, 5/9 of the remaining votes were for green, and the remaining 48 votes were for red. How many votes were for blue? How many votes were for green?

Answer 1

V=number of votes.

BLUE 5V/8

GREEN (5/9)(3V/8)=5V/24

RED 48=V-5V/24-5V/8=(24V-5V-15V)/24=V/6, so V=6*48=288

BLUE=(5/8)288=180; GREEN=(5/24)288=60

CHECK: 180+60+48=288