The population of a city has increased by 38% since it was last measured if the current population is 34,500 what was the previous population
Let's call the previous population P.
We know that the current population is 34,500, and it is 38% higher than the previous population.
To find the previous population, we need to subtract the 38% increase from the current population:
Previous population = Current population - (38/100) * Current population
Previous population = 34,500 - 0.38 * 34,500
Previous population = 34,500 - 13,110
Previous population = 21,390
Therefore, the previous population was 21,390.
To find the previous population, you can follow these steps:
1. Calculate the increase in population:
Increase = Current population - Previous population
2. Convert the percentage increase into a decimal:
Increase percentage = 38% = 0.38
3. Set up an equation using the increase formula:
Increase = Previous population * Increase percentage
4. Substitute the known values into the equation:
Previous population * 0.38 = 34,500 - Previous population
5. Simplify the equation:
0.38 * Previous population = 34,500 - Previous population
6. Solve for Previous population:
0.38 * Previous population + Previous population = 34,500
7. Combine like terms:
1.38 * Previous population = 34,500
8. Divide both sides of the equation by 1.38 to solve for Previous population:
Previous population = 34,500 / 1.38
9. Calculate the result:
Previous population ≈ 25,000
Therefore, the previous population of the city was approximately 25,000.