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?
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To find the original population before the increase, we can set up the equation: If \( x \) is the original population, then after a \( 15\% \) increase, the new population is \( 1.15x \). Given that the current population is 64,40 (assuming you meant 64,400), we can form the equation \( 1.15x = 64,400 \). To find \( x \), divide both sides by \( 1.15 \): \[ x = \frac{64,400}{1.15} \approx 56,000 \]. So, the original population was approximately 56,000 before the increase! An important aspect of solving percentage problems is to remember to clarify your units—always confirm if you're dealing with countable things like population or financial amounts. A common mistake is to forget about decimal placement, leading to significant calculation errors, especially if you're working quickly! Always double-check your figures!
