SOLUTION: Old chevy uses premium gas. accidently topped off with 5 gallos of regular gas. Tank holds 16 galls. Car gets 17 miles pergallon. How many miles will I have to drive care so th

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Question 808442: Old chevy uses premium gas. accidently topped off with 5 gallos of regular gas. Tank holds 16 galls. Car gets 17 miles pergallon. How many miles will I have to drive care so that when I fill up the gantke with premium, the mixzture is 95% or greater?
I figured out percentages of regular to premium in 16 gal tank 32% and 69%. I can figure out the miles per gal. by dividing by 17 Mile/gal once I know how many gallons I need. Problem is when I mizx 100% premium with 69% premium. I don't know how to set it up.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Try to think your way through the process described.

16 gallons of regular;
17 miles per gallon.
Want "mixture" to become 95% premium gasoline, so how much room needs to be in the tank to do this? Review that information and think, before continuing...

The 16 gallons of regular is thought to be as 0% premium. You may start this through "algebra". v = how much to remove and replace with premium to get 95% premium:

%2816%2A0-v%2A0%2Bv%2A100%29%2F16=95
v%2A100%2F16=95
v=95%2A16%2F100
v=15.2 gallons.

The old chevy must consume 15.2 gallons of the regular gasoline and replace it with the premium gasoline to obtain the mixtures of 95% premium... but how many MILES correspond to this 15.2 miles?

Use the fuel efficiency datum.
%2815.2%29%2A%2817%29 gallons%28miles%2Fgallons%29
highlight%28258%29 MILES as a target value, minumum.