Aisha is working two summer jobs, making $9 per hour washing cars and making $25 per hour tutoring. In a given week, she can work a maximum of 18 total hours and must earn a minimum of $290. If Aisha worked 3 hours washing cars, determine the maximum number of whole hours tutoring that she can work and still meet her requirements. Answer:

Question

Aisha is working two summer jobs, making  $9 per hour washing cars and making  $25 per hour tutoring. In a given week, she can work a maximum of 18 total hours and must earn a minimum of  $290. If Aisha worked 3 hours washing cars, determine the maximum number of whole hours tutoring that she can work and still meet her requirements. Answer:

Bytelearn · Accepted Answer

Calculate Earnings: First, we need to calculate the amount of money Aisha earns from washing cars for 3 hours. She earns $9 per hour washing cars. So, for 3 hours, she would earn 3 hours × $9 per hour.Remaining Hours: Now, let's do the calculation for the earnings from washing cars. 3 hours × $9 per hour = $27. This is the amount Aisha earns from washing cars.Calculate Remaining Amount: Next, we need to subtract the hours she has already worked washing cars from the total hours she can work in a week. Aisha can work a maximum of 18 hours per week. She has already worked 3 hours washing cars. So, she has 18 hours - 3 hours left for tutoring.Calculate Maximum Hours: Let's calculate the remaining hours Aisha can work. 18 hours - 3 hours = 15 hours. This is the maximum number of hours she can work tutoring.Division for Hours: Now, we need to calculate the minimum amount of money Aisha still needs to earn to meet her weekly goal of $290 after earning $27 from washing cars. She needs to earn a minimum of $290 in total. She has already earned $27 from washing cars. So, she needs $290 - $27 more.Maximum Tutoring Hours: Let's do the calculation for the remaining amount Aisha needs to earn. $290 - $27 = $263. This is the amount she needs to earn from tutoring.We will now calculate the maximum number of whole hours Aisha can tutor to earn at least $263. She earns $25 per hour tutoring. To find the number of hours, we divide the total amount she needs by her hourly rate. So, we need to calculate $263 ÷ $25 per hour.Performing the division to find the number of hours: $263 ÷ $25 per hour = 10.52 hours. Since Aisha can only work whole hours, we round down to the nearest whole number.Aisha can work a maximum of 10 whole hours tutoring to meet her requirements. This is less than the 15 hours she has available after washing cars, so it is within her weekly hour limit.

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