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Fred teaches swimming at a local pool. He charges $60\$60 per lesson. This month, he spent $114.50\$114.50 on online advertisements and $45.50\$45.50 on a website. The pool charges him $20\$20 per lesson to use its facilities.\newlineWhich equation can you use to find nn, the number of lessons Fred must teach this month for the amount he brings in to equal the amount he spends?\newlineChoices:\newline(A) 114.5+45.5n=20n+60n114.5 + 45.5n = 20n + 60n\newline(B) 60n=114.5+45.5+20n60n = 114.5 + 45.5 + 20n\newlineHow many lessons must Fred teach this month for the amount he brings in to equal the amount he spends?\newline___\_\_\_ lessons\newline

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Q. Fred teaches swimming at a local pool. He charges $60\$60 per lesson. This month, he spent $114.50\$114.50 on online advertisements and $45.50\$45.50 on a website. The pool charges him $20\$20 per lesson to use its facilities.\newlineWhich equation can you use to find nn, the number of lessons Fred must teach this month for the amount he brings in to equal the amount he spends?\newlineChoices:\newline(A) 114.5+45.5n=20n+60n114.5 + 45.5n = 20n + 60n\newline(B) 60n=114.5+45.5+20n60n = 114.5 + 45.5 + 20n\newlineHow many lessons must Fred teach this month for the amount he brings in to equal the amount he spends?\newline___\_\_\_ lessons\newline
  1. Calculate Total Expenses: Fred's total expenses for the month are the sum of his online advertisement costs and his website costs. We need to add these two amounts together to find his total expenses.\newlineCalculation: 114.50+45.50=160.00114.50 + 45.50 = 160.00
  2. Calculate Net Earnings: Fred earns $60\$60 per lesson, but he also has to pay the pool $20\$20 per lesson. So, his net earning per lesson is the amount he charges minus the amount he pays to the pool.\newlineCalculation: 6020=4060 - 20 = 40
  3. Set Up Equation: Now we can set up the equation to find nn, the number of lessons Fred must teach to break even. His net earnings per lesson (40n40n) must equal his total expenses (160160).\newlineEquation: 40n=16040n = 160
  4. Solve for nn: To solve for nn, we divide both sides of the equation by 4040.\newlineCalculation: 16040=4\frac{160}{40} = 4

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