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?

Convert the percentage into a decimal:



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



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

Cross multiply the fractions:



Divide both sides by 0.45 to get x by itself:



Carmen worked 20.56 hours last week.