BodegaLegend
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You drive a car that runs on ethanol and gas. You have a 20 gallon tank to fill and you can buy fuel that is either 25% or 85% ethanol. How much of each fuel should you buy to have 50% ethanol in the tank? Will give brainliest!!!!!!!!!!!!!!!!!!

Respuesta :

mhanifa

Answer:

  • 11.67 gallons of 25% and 8.33 gallons of 85%

Step-by-step explanation:

Let the volume of 25% ethanol be x, then volume of 85% ethanol will be (20 - x)

The ethanol content is:

  • 0.25x + 0.85(20 - x) = 20*0.5
  • 0.25x + 17 - 0.85x = 10
  • -0.6x = 10 - 17
  • -0.6x = -7
  • x = 7/0.6
  • x = 11.67

11.67 gallons of 25% ethanol and

20 - 11.67 = 8.33 gallons of 85% ethanol

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