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A truck can be rented from Company A for $90 a day plus a $0.20 per mile .Company B charges $20 a day plus $0.70 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

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adioabiola

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

Rental cost

Let

  • Number of miles = x

Company A:

90 + 0.20x

Company B:

20 + 0.70x

  • Equate both rental cost

90 + 0.20x = 20 + 0.70x

90 - 20 = 0.70x - 0.20x

70 = 0.50x

  • Divide both sides by 0.50

x = 70/0.50

x = 140 miles

Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

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