Posted by **Anonymous** on Saturday, March 1, 2008 at 11:20pm.

Beginning with a tank containing 8075 gallons of gasoline, more gas is added at a rate of 5 gallons per minute, while alcohol is added at a rate of 10 gallons per minute. When the mixture is 10% alcohol, how many gallons of the mixture are in the tank?

Is there an easier way to do it than writing out every number and making a table, I'm pretty sure there is, but I can't remember it.

- Math -
**drwls**, Sunday, March 2, 2008 at 12:30am
An easier way is algebra.

Beginning at time t=0, the amount of gasoline in the tank In gallons) is

G = 8075 + 5 t

and the amount of alcohol is

A = 10 t.

The mixture is 10% alcohol when

A /(G + A) = 0.1 or

G = 9 A.

So, solve this equation for t:

8075 + 5 t = 90 t

85t = 8075

t = 95 minutes.

## Answer this Question

## Related Questions

- math - A tank contains 50 gallons of a solution composed of 90% water and 10% ...
- math - Water is Pumped into an underground tank at a constant rate of 8 gallons ...
- Math/Physics - Please check my work below and comment. A tank initially contains...
- calculus - Water is Pumped into an underground tank at a constant rate of 8 ...
- Math - a gasoline pump delivers 4 2/5 gallons of gas per minute. How many ...
- algebra - The number of gallons of water, y , in a tank after x hours may be ...
- algebra - The number of gallons of water, y , in a tank after x hours may be ...
- linear - Suppose that we have a system consisting of two interconnected tanks, ...
- linear algebra - Suppose that we have a system consisting of two interconnected ...
- calculus - A water heater in the shape of a circular cylinder is standing ...

More Related Questions