Finding the oriainal amount glven the rasull of- The population of a city has increased by \( 15 \% \) since it was last measured. If the current population is 64,40 previous population?

To find the original amount given the result, we can use the formula for percentage increase: \[ \text{Original Amount} = \frac{\text{Current Amount}}{1 + \text{Percentage Increase}} \] Given: - Current population = 64,400 - Percentage increase = 15% Substitute the values into the formula: \[ \text{Original Amount} = \frac{64,400}{1 + 0.15} \] Now, we can calculate the original amount. Calculate the value by following steps: - step0: Calculate: \(\frac{64400}{\left(1+0.15\right)}\) - step1: Remove the parentheses: \(\frac{64400}{1+0.15}\) - step2: Add the numbers: \(\frac{64400}{1.15}\) - step3: Convert the expressions: \(\frac{64400}{\frac{23}{20}}\) - step4: Multiply by the reciprocal: \(64400\times \frac{20}{23}\) - step5: Reduce the numbers: \(2800\times 20\) - step6: Multiply the numbers: \(56000\) The original population of the city was 56,000.