Convert the percentage into a decimal:
[tex]45 \div 100 = 0.45[/tex]
Set up a proportion using the hours Andrea worked, and the percentage compared to Carmen's workload:
[tex] \frac{9.25}{0.45} = \frac{x}{1} [/tex]
The numerator will represent the hours worked, and the denominator will represent the percentage when compared to Carmen's workload.
Cross multiply the fractions:
[tex]0.45x = 9.25[/tex]
Divide both sides by 0.45 to get x by itself:
[tex]x = 20.56[/tex]
Carmen worked 20.56 hours last week.
