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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

Question

Jill is a writing tutor at her local community center. She has spent 400onadvertisements,andshepaysthecommunitycenter400 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

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Solution

To solve this problem, we first need to understand that Jill's total expenses include both the cost of advertisements and the cost of using the community center's facilities.

Step 1: Identify the costs

  • Advertisement cost: $400
  • Facility cost: $20 per hour

Step 2: Identify the income

  • Jill charges her clients $60 per hour

Step 3: Calculate the net income per hour

  • Net income per hour = Income per hour - Facility cost per hour
  • Net income per hour = 6060 - 20 = $40

Step 4: Calculate the number of hours Jill needs to work to cover her advertisement cost

  • Hours needed = Advertisement cost / Net income per hour
  • Hours needed = 400/400 / 40 = 10 hours

So, Jill must tutor for 10 hours for the amount she brings in to equal the amount she spends.

This problem has been solved

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