To determine the total population of Pierce City, we can use an equation involving percentages.
Here's the step-by-step solution:
1. Start with the information given in the problem:
- Number of people under the age of 20: 1,348.
- This number represents 11% of the total population.
2. Let [tex]\( P \)[/tex] be the total population of Pierce City.
3. According to the problem, 11% of the total population [tex]\( P \)[/tex] equals 1,348 people. In mathematical terms, this can be written as:
[tex]\[
0.11 \times P = 1348
\][/tex]
Here, 0.11 is the decimal equivalent of 11%.
4. To find [tex]\( P \)[/tex], we need to isolate [tex]\( P \)[/tex] on one side of the equation. We can do this by dividing both sides of the equation by 0.11:
[tex]\[
P = \frac{1348}{0.11}
\][/tex]
5. Carry out the division:
[tex]\[
P = 12254.545454545454
\][/tex]
6. Thus, the total population of Pierce City is approximately 12,254.545454545454.
Given that population numbers are usually whole numbers, we can round it to the nearest whole number, which is 12,255.
Therefore, the total population of Pierce City is approximately 12,255 people.
