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A truck can be rented from Company A for ​$100 a day plus ​$0.50 per mile. Company B charges ​$40 a day plus ​$0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing ​miles, the rental costs are the same from either company.

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Answer:

18 miles

Step-by-step explanation:

Let

  • The number of miles = x .

According to Question ,

  • 100 + 0.5(x) = 40 + 0.8(x)
  • 100 + 0.5x = 40+ 0.8x
  • 100 - 40 = 0.8x - 0.5x
  • 60 = 0.3x
  • x = 60/3 * 10
  • x = 18

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