Question

Tori works two jobs to pay for college. She tutors for $30 per hour and also works as a receptionist for $10 per hour. Due to her class and study schedule, Tori is only able to work up to 20 hours per week, but must earn at least $200 per week. If t represents the number of hours Tori tutors and r represents the number of hours she works as a receptionist, which system of inequalities represents this scenario?

Answer 1

Let x represent the amount of hours she works at tutoring, let y represent the amount of hours she works as a receptionist.
The total amount of hours for both would have to equal 20, giving you:
x+y=20
The amount of money she has to earn must equal 200, giving you:
30x+10y=200