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A truck can be rented from Company A for ​$70 a day plus ​$0.70 per mile. Company B charges ​$20 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.

Respuesta :

mhanifa

Answer:

  • 500 miles

Step-by-step explanation:

Let the number of miles is x.

Then for each company we have total charge of:

  • A = 0.7x + 70
  • B = 0.8x + 20

Since A = B, solve for x:

  • 0.7x + 70 = 0.8x + 20
  • 0.8x - 0.7x = 70 - 20
  • 0.1x = 50
  • x = 50/0.1
  • x = 500 miles

Let no of miles be y

  • A=0.7y+70
  • B=0.8y+20

[tex]\\ \sf\longmapsto A=B[/tex]

[tex]\\ \sf\longmapsto 0.7y+70=0.8y+20[/tex]

[tex]\\ \sf\longmapsto 0.8y-0.7y=70-20[/tex]

[tex]\\ \sf\longmapsto 0.1y=50[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{50}{0.1}[/tex]

[tex]\\ \sf\longmapsto y=500miles[/tex]

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