Percentage question based on voting

Question

Please help me solve this problem. Thank you.

Answer 1

Assume that Mondale has 60 supporters and Bush 40. Then 6 supporters changed to Bush and 4 to Mondale. So, now Mondale has 60+4-6=58 supporters and Bush has 40+6-4=42 supporters. You need to find the number of supporters $x$ expressed as a percentage of the total number of voters (100), so that 58 becomes 50 (at par). So, $8$ in $58$ is equal to $x$ in 100. Solve for $x$: $$x=\frac{8}{58}\cdot100\approx14\%$$