Question

Riverside elementary school is holding a school-wide election to choose a school color. five eighths of the votes were for blue, five ninths of the remaining votes were for green, and the remaining 48 votes were for red. how many votes were for blue? how many votes for green?if every student get one vote but there were 25 students aqbsent on the day of the vote, how many students are there at riverside elementary school?

Answer 1

the problem given can be solve using one variable. so let x be the total vote
x = x(5/8) + 5/9(x - x(5/8)) + 48
so solve for x
x - x(5/8) - 5/9(x - x(5/8)) = 48
x - x(5/8) - x(5/9) + x(25/72) = 48
x(1/6) = 48
x = 48*6
x = 288
blue votes = 288(5/8) = 180
red votes = 5/9(288 - 180) = 60
students riverside = 288 + 25 = 313