BodegaLegendidn
Answered

Join IDNLearn.com today and start getting the answers you've been searching for. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

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!!!!!!!!!!!!!!!!!!

Sagot :

Mhanifaidn

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

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.