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Answer :
Final answer:
To find the total population of the town, we can set up a proportion using the information given. Using the formula, we can solve for the total population by subtracting the number of people not working in the auto industry from the total population. The total population of the town is 12,700 people.
Explanation:
To find the total population of the town, we need to use the information given and set up a proportion. We are told that 1 out of every 20 people works in the auto industry. This means that the ratio of people working in the auto industry to the total population is 1:20.
We are also given that there are 12,350 people who do not work in the auto industry. To set up the proportion, we can use the formula:
People working in auto industry / Total population = 1 / 20
Simplifying the equation gives us:
People working in auto industry = 1/20 * Total population
Since we already know that there are 12,350 people who do not work in the auto industry, we can subtract that from the total population:
Total population - People not working in auto industry = People working in auto industry
Substituting the given values gives:
Total population - 12,350 = 1/20 * Total population
To solve for the total population, we can multiply both sides of the equation by 20:
20 * Total population - 20 * 12,350 = Total population
Simplifying gives:
19 * Total population = 20 * 12,350
Dividing both sides by 19 gives:
Total population = 20 * 12,350 / 19
Calculating the result gives a total population of 12,700 people.
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