SOLUTION: In a certain city, x% of the voters strongly support a bill, and 40% strongly oppose it. Three-fifths of the remaining voters slightly support the bill and the rest slightly oppose
Question 1163067: In a certain city, x% of the voters strongly support a bill, and 40% strongly oppose it. Three-fifths of the remaining voters slightly support the bill and the rest slightly oppose it. What is the equation that shows the total percentage of voters, S, who either strongly or slightly support the bill? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! x in favor and 0.40 against it.
The total is 0.40+x.
Remaining voters are 1-(0.40+x)=0.60-x
3/5 of them slightly support it. that last part would be 0.36-0.6 x
So strong or slight support would be x+0.36-0.6x=0.36+0.4x
equation is total support=0.36+0.4x
Check with 20% in favor and 40% opposed
40% are left and 3/5 of them or 24 % support it
That would make total support 44%
0.36+0.4x=0.36+0.08=0.44
