A city data report shows that 1/3
of the population has a college degree, 1/4 of the population has a high school diploma, and the remaining 200,000 people do not have a formal education.
To determine the total population, we need to find the fraction of the population that does not have a college degree or a high school diploma.
1/3 of the population has a college degree, which means 1 - 1/3 = 2/3 of the population does not have a college degree.
1/4 of the population has a high school diploma, which means 1 - 1/4 = 3/4 of the population does not have a high school diploma.
Since the two groups of people without a college degree and without a high school diploma overlap, we need to find the combined fraction of the population that does not have either.
The fraction of the population that does not have either a college degree or a high school diploma is given by (2/3) + (3/4) - 1, which simplifies to 5/12.
Since the total population without a formal education is 200,000, we can set up the equation:
(5/12) * Total Population = 200,000
To solve for the total population, we can multiply both sides of the equation by 12/5:
Total Population = (200,000 * 12) / 5
Total Population = 480,000
Therefore, the total population of the city is 480,000.