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Now that Westford Auto Repair has a different owner, its mechanics make $42\$42 per hour. That is 5%5\% more than they originally made. How much did the mechanics use to make per hour?\newline$\$____

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Q. Now that Westford Auto Repair has a different owner, its mechanics make $42\$42 per hour. That is 5%5\% more than they originally made. How much did the mechanics use to make per hour?\newline$\$____
  1. Calculate New Wage: Step 11: Let xx be the original hourly wage of the mechanics.\newlineCalculate the new wage based on a 5%5\% increase.\newlineNew wage expression: x+5%(x)x + 5\%(x)\newline= x+0.05xx + 0.05x
  2. Set Up Equation: Step 22: We know the new wage is $42\$42 per hour.\newlineSet up an equation to find xx, the original wage.\newlineEquation: 42=x+0.05x42 = x + 0.05x
  3. Solve for x: Step 33: Combine like terms to solve for x.\newline42=1.05x42 = 1.05x\newlinex=421.05x = \frac{42}{1.05}\newlinex=40x = 40