Question

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 voted in favor of the gas tax. which is a good prediction for the total number of people who voted on the gas tax issue

Answer 1

64,000

Step-by-step explanation:

If 180 out of 320 people were in favor of a gas tax, then 140 people (320 - 180) must have voted against the gas tax (assuming all voted and are valid)

The ratio of those that voted in favor of the tax to those who voted against is 180 to 140 expressed as 9:7 in the simplest form.

Now, if 36,000 people voted in favor of the tax, let the total number of people who voted on the issue be T

9/(9 + 7) × T = 36000

(9/16)T = 36000

9T = 36000 × 16

T = 36000 × 16/9

T = 64,000

This means 64,000 people would have participated in the vote.

Answer 2

If the survey found that in every 320 people, 180 of them voted in favor of gas tax .Then to get the total number of people who voted in favor of gas tax were 36,000. We can get the number of 180 people groups among those who voted in favor. = 36,000/180 = 200 groups
A group of 180 people who voted in favor is equivalent to a group of 360 people who voted.
Therefore, 200 × 360 people =72,000 people took part in the voting exercise.