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Write an algebraic equation for the following problem and then solve it. A town's employment statistics show that 855 of its residents were unemployed last month. This is a decrease of 25% from the previous month. How many residents were unemployed in the previous month?

Write an algebraic equation for the following problem and then solve it.\newlineA town's employment statistics show that 855855 of its residents were unemployed last month. This is a decrease of 25% 25 \% from the previous month. How many residents were unemployed in the previous month?

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Q. Write an algebraic equation for the following problem and then solve it.\newlineA town's employment statistics show that 855855 of its residents were unemployed last month. This is a decrease of 25% 25 \% from the previous month. How many residents were unemployed in the previous month?
  1. Set up equation: Step 11: Set up the equation to find the original number of unemployed residents.\newlineLet xx be the number of residents unemployed in the previous month. Since there was a 25%25\% decrease, the number of unemployed residents last month is 75%75\% of the previous month's total.\newlineEquation: 0.75x=8550.75x = 855
  2. Solve for x: Step 22: Solve for x by dividing both sides of the equation by 0.750.75.\newlinex=8550.75x = \frac{855}{0.75}\newlinex=1140x = 1140

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