Jill is a writing tutor at her local community center. She has spent $400 on advertisements, and she pays the community center $20 per hour to use its facilities. She charges her clients $60 per hour. How many hours must Jill tutor for the amount she brings in to equal the amount she spends? hours

Answer 1

To determine how many hours Jill must tutor for her income to equal her expenses, we start by defining her costs and revenues.

Expenses:

1. Advertisement costs: $400
2. Facility rental cost: $20 per hour

If she tutors for \( h \) hours, her total cost can be expressed as: \[ \text{Total Expenses} = 400 + 20h \]

Income: She charges $60 per hour, so her income for \( h \) hours is: \[ \text{Total Income} = 60h \]

To find the number of hours \( h \) that makes her total income equal to her total expenses, we set up the equation: \[ 60h = 400 + 20h \]

Now, we will solve for \( h \).

1. Subtract \( 20h \) from both sides: \[ 60h - 20h = 400 \] \[ 40h = 400 \]

2. Divide both sides by 40: \[ h = \frac{400}{40} = 10 \]

Thus, Jill needs to tutor for \( \boxed{10} \) hours for her income to equal her expenses.