I had been planning to work for 20 hours a week for 12 weeks this summer to earn $\$3000$ to buy a used car. Unfortunately, I got sick for the first two weeks of the summer and didn't work any hours. How many hours a week will I have to work for the rest of the summer if I still want to buy the car?
To answer this question, I need to figure out how much I earn per hour and how many weeks I have left to work. I can find my hourly wage by dividing my total earnings by my total hours. That is, $\frac{3000}{20 \times 12} = 12.5$. So I earn $\$12.5$ per hour. I can find how many weeks I have left by subtracting the two weeks I missed from the 12 weeks I planned. That is, $12 - 2 = 10$. So I have 10 weeks left to work. Now, I need to find how many hours I have to work each week to earn $\$3000$ in 10 weeks. I can do this by using the same formula as before, but solving for hours instead of wage. That is, $\frac{3000}{12.5 \times 10} = 24$. So I have to work 24 hours a week for the rest of the summer. 