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Greenville's current population is 9,7089,708 residents, which is 20%20\% larger than at the time of its founding. What was the population of Greenville back then?\newline____ residents

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Q. Greenville's current population is 9,7089,708 residents, which is 20%20\% larger than at the time of its founding. What was the population of Greenville back then?\newline____ residents
  1. Define founding population: Let xx be the population of Greenville at the time of its founding.\newlineCurrent population is 20%20\% larger than the founding population.\newlineExpression for current population: x+20%(x)x + 20\%(x)\newline= x+0.2xx + 0.2x
  2. Set up equation: We know the current population is 9,7089,708. Set up the equation to find xx, the population at the time of founding. Equation: 9,708=x+0.2x9,708 = x + 0.2x
  3. Combine terms: Combine like terms. 9,708=1.2x9,708 = 1.2x
  4. Solve for x: Solve for x.\newlinex=9,7081.2x = \frac{9,708}{1.2}\newlinex=8,090x = 8,090