1.From a gas station in or near your community, find the price per gallon of some high-octane gasoline which we will call p for premium.
2.Find the price per gallon for some lower octane gasoline r and the price per gallon for some diesel d.
3.Imagine for the gas station only those three type of fuel are sold and during one day a total of $7,806 of all type were sold. Let x be the number of gallons sold of premium, y be the gallons sold of regular, lower octane gasoline and z be that for diesel. You are solving for x, y, and z as the number of gallons sold of each type.
4.Further, on that day, twice as much dollars came from diesel that was sold as that from premium.
5.Also, the amount in gallons of lower octane gasoline sold was the same as the gallons of diesel sold.
6.Produce an augmented matrix for this system of equations.
7.Post your reduced row echelon form.
Report how many gallons of each type, rounded to one decimal place, were sold.