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During an activity analysis, a human resources manager determined that an employee spent 1.7 hours making work calls one week, which was 
4% of the employee's total work hours for the week. How many hours did the employee work?

During an activity analysis, a human resources manager determined that an employee spent 11.77 hours making work calls one week, which was 4% 4 \% of the employee's total work hours for the week. How many hours did the employee work?

Full solution

Q. During an activity analysis, a human resources manager determined that an employee spent 11.77 hours making work calls one week, which was 4% 4 \% of the employee's total work hours for the week. How many hours did the employee work?
  1. Understand the problem: Understand the problem and what is given.\newlineWe know that 1.71.7 hours is 4%4\% of the total work hours. We need to find the total work hours.
  2. Set up the equation: Set up the equation to solve for the total work hours.\newlineLet the total work hours be represented by xx. Then, 4%4\% of xx is equal to 1.71.7 hours.\newlineSo, we can write the equation as 0.04×x=1.70.04 \times x = 1.7.
  3. Solve for x: Solve for x (the total work hours).\newlineTo find xx, we divide both sides of the equation by 0.040.04.\newlinex=1.70.04x = \frac{1.7}{0.04}
  4. Perform the division: Perform the division to find the total work hours. x=1.70.04=42.5x = \frac{1.7}{0.04} = 42.5
  5. Verify the solution: Verify the solution.\newlineIf 42.542.5 hours is the total work hours, then 4%4\% of 42.542.5 should be 1.71.7 hours.\newline0.04×42.5=1.70.04 \times 42.5 = 1.7