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Taylor is working two summer jobs, making per hour washing cars and making per hour tutoring. In a given week, she can work a maximum of total hours and must earn no less than . If Taylor worked hours washing cars, determine the maximum number of whole hours tutoring that she can work and still meet her requirements.Answer:
Full solution
Q. Taylor is working two summer jobs, making per hour washing cars and making per hour tutoring. In a given week, she can work a maximum of total hours and must earn no less than . If Taylor worked hours washing cars, determine the maximum number of whole hours tutoring that she can work and still meet her requirements.Answer:
- Calculate Earnings from Washing: Taylor earns per hour washing cars. If she worked hours washing cars, we need to calculate how much she earned from washing cars.Calculation: hours * per hour = .
- Subtract from Weekly Requirement: Now we need to subtract the amount Taylor earned from washing cars from her minimum weekly earning requirement to find out how much more she needs to earn from tutoring.Calculation: .
- Calculate Maximum Tutoring Hours: Taylor earns per hour tutoring. To find out the maximum number of whole hours she can tutor, we divide the remaining amount she needs to earn by her hourly tutoring rate.Calculation: per hour = hours.
- Round Down to Whole Hours: Since Taylor can only work whole hours, we need to round down the number of hours she can tutor to the nearest whole number.Calculation: Taylor can work a maximum of whole hours tutoring.
- Check Total Weekly Hours: We must ensure that the total hours worked in both jobs do not exceed the maximum of hours per week. Taylor has already worked hours washing cars.Calculation: total hours hours washing cars hours remaining for tutoring.
- Optimal Tutoring Hours: Since the maximum number of hours Taylor can tutor based on her earnings requirement is hours, and she has hours remaining within her -hour weekly limit, she can meet both conditions by working hours tutoring.
