A town's employment statistics show that 867 of its residents were unemployed last month. This is a decrease of 15% from the previous month. How many residents were unemployed in the previous month? The algebraic equation is ◻=867. (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Do not simplify.) A total of residents were unemployed in the previous month. (Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.)

Question

A town's employment statistics show that 867 of its residents were unemployed last month. This is a decrease of  15% from the previous month. How many residents were unemployed in the previous month? The algebraic equation is  ◻=867. (Type an expression using  x as the variable. Use integers or decimals for any numbers in the expression. Do not simplify.) A total of   residents were unemployed in the previous month. (Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.)

Bytelearn · Accepted Answer

Define variable x:  question_prompt: Calculate the number of residents who were unemployed in the previous month based on a 15% decrease to 867 residents last month.Simplify equation:  Step 1: Define the variable x to represent the number of unemployed residents in the previous month. Since the number decreased by 15%, the equation is x - 0.15x = 867.Solve for x:  Step 2: Simplify the equation. Combine like terms on the left side: x - 0.15x = 0.85x So, 0.85x = 867. Step 3: Solve for x by dividing both sides of the equation by 0.85: x = 867 / 0.85 x ≈ 1020.0

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