Question

Luke is working two summer jobs, making $8 per hour washing cars and making $20 per hour tutoring. In a given week, he can work at most 17 total hours and must earn a minimum of $220. If Luke worked 10 hours tutoring, determine the minimum number of whole hours washing cars that he must work to meet his requirements.​

Answer 1

Luke must work at least 3 hours washing cars to meet his requirements.

Step-by-step explanation:

Let's assume that Luke works x hours washing cars.

Since he worked 10 hours tutoring, he has a total of 17 - 10 = 7 hours left to work washing cars.

His earnings from working x hours washing cars would be 8x, and he must earn at least $220 in total.

So, we can set up an equation:

8x + 10(20) = 220

Simplifying this equation gives:

8x + 200 = 220

8x = 20

x = 2.5

Since Luke can only work whole hours, he must work at least 3 hours washing cars to meet his requirements.