A random sample of voters found that 180 out of 320 people were in favor of a gas tax. election results found that 36,000 people

The answer is: 64,000. If 180 out of 320 individuals supported the gas tax, that implies 140 opposed it (320 - 180), given that all votes are valid. The ratio between supporters and opponents is 180 to 140, simplified to 9:7. Knowing that 36,000 individuals voted in support, let T represent the total number of participants in the vote. The equation is 9/(9 + 7) × T = 36,000, which simplifies to (9/16)T = 36,000. By multiplying through, we find 9T = 36,000 × 16, leading to T = 36,000 × 16/9. Thus, T equals 64,000 participants in the voting process.

In the survey, out of every 320 participants, 180 supported the gas tax. Consequently, to determine the total number of supporters, if 36,000 voted in favor, the number of groups represented by 180 supporters is calculated as 36,000/180 = 200 groups. Each group of 180 supporters corresponds to 360 voters total. Thus, 200 × 360 yields a total of 72,000 individuals participating in the vote.