If 20% of the people in a small town are voters, and there are 2,360 voters, what is the population of the town?
.20x = 2360
x = 11800
To find the population of the town, you can use the following steps:
Step 1: Calculate the percentage of voters in the town as a decimal.
- The percentage of voters is given as 20%, which is equivalent to 0.20 as a decimal.
Step 2: Use the formula: population = voters / percentage of voters
- In this case, the number of voters is given as 2,360.
- Substitute these values into the formula: population = 2,360 / 0.20
Step 3: Solve for the population.
- Divide 2,360 by 0.20: population = 2,360 / 0.20
Step 4: Calculate the population.
- Perform the division: population = 11,800
Therefore, the population of the town is 11,800.
To find the population of the town, we need to determine the total number of people based on the given information.
Let's break down the problem step by step:
Step 1: Identify the percentage of voters
The problem states that 20% of the people in the town are voters.
Step 2: Calculate the fraction of voters
Since 20% is equivalent to 20/100 or 1/5, we can say that 1/5 of the people in the town are voters.
Step 3: Find the total number of people
If the number of voters is 2,360, and we know that voters make up 1/5 of the total population, we can set up a proportion to find the total population.
Let X represent the total population of the town.
1/5 = 2360/X
To solve for X, we can multiply both sides of the equation by 5 and cross-multiply:
5 * 1/5 = 2360/X * 5
1 = 11800/X
X = 11800
Therefore, the population of the small town is 11,800.