Final answer:
To find out how many hours Alan would need to work to earn $228, you calculate his hourly wage by dividing $171 by 9, resulting in $19 per hour. Then, simply divide the target income of $228 by the hourly wage to find he needs to work 12 hours to earn $228.
Step-by-step explanation:
Calculating Hours Worked for a Target Income
Alan made $171 for nine hours of work. To find how many hours Alan needs to work to make $228, we need to calculate his hourly wage by dividing his earnings by the number of hours worked. This gives us an hourly wage of $171 divided by 9 hours, which equals $19 per hour. To reach the target of $228, divide $228 by Alan's hourly wage of $19 to get the number of hours he needs to work. Therefore, Alan would have to work $228 divided by $19 per hour, resulting in 12 hours of work to make $228.
The original information provided involves scenarios of work hours, different incomes, and government benefits, but for Alan's situation, we only need to use a simple rate calculation to find the solution.