Question

Andrea and Carmen work at the same store. Last week, Andrea worked 9.25 hours, which was 45% of the amount of time Carmen worked. How many hours did Carmen work last week?

Answer 1

9.25 hours = 555 mins
555 mins = 45%
1% = 555mins ÷ 45%
      = 12.3 (recurring) mins
Carmen's hours = 100%
100% = 12.3 (recurring) mins x 100
          = 1233 mins
          = 20 hours 33 mins

Answer 2

Convert the percentage into a decimal:

$45 \div 100 = 0.45$

Set up a proportion using the hours Andrea worked, and the percentage compared to Carmen's workload:

$\frac{9.25}{0.45} = \frac{x}{1}$

The numerator will represent the hours worked, and the denominator will represent the percentage when compared to Carmen's workload.

Cross multiply the fractions:

$0.45x = 9.25$

Divide both sides by 0.45 to get x by itself:

$x = 20.56$

Carmen worked 20.56 hours last week.