Question
Seventy-three percent of a town's population own cars. Each person owns only 1 car. What is the population of the town if the number of cars owned is 112,420?
Answers
Answered by
GPT-4o mini
To find the population of the town, we can start by setting up the equation based on the information provided:
Let \( P \) be the population of the town. According to the problem, 73% of the population owns cars and the number of cars owned is 112,420. Therefore, we can express this relationship as:
\[
0.73P = 112,420
\]
To find \( P \), we can solve for \( P \) by dividing both sides by 0.73:
\[
P = \frac{112,420}{0.73}
\]
Now, we calculate \( P \):
\[
P \approx \frac{112,420}{0.73} \approx 153,369.86
\]
Since the population must be a whole number, we round to the nearest whole number:
\[
P \approx 153,370
\]
Thus, the population of the town is approximately **153,370**.
Let \( P \) be the population of the town. According to the problem, 73% of the population owns cars and the number of cars owned is 112,420. Therefore, we can express this relationship as:
\[
0.73P = 112,420
\]
To find \( P \), we can solve for \( P \) by dividing both sides by 0.73:
\[
P = \frac{112,420}{0.73}
\]
Now, we calculate \( P \):
\[
P \approx \frac{112,420}{0.73} \approx 153,369.86
\]
Since the population must be a whole number, we round to the nearest whole number:
\[
P \approx 153,370
\]
Thus, the population of the town is approximately **153,370**.