Maria Mixed grades of gasoline in her car, she puts 10 gallon of regular and 8 gallon of premium for a total $46.96. I f premium costs $0.20 more per gallon than regular, what was the price of each grade of gasoline.
10 r + 8 (r+.20) = 46.96
18 r + 1.60 = 6.96
18 r = 5.36 etc
suppose charlie o'brian of the braves hits a baseball straight upward at 105ft/sec from a height of 5ft. I need to set up an equation because i need to use the formula to determine how long it takes the ball to return to the earth and estimate the height reached by the ball. I would like the steps as well as the answer.
To find the price of each grade of gasoline, we need to set up a system of equations based on the given information.
Let's assume the price of regular gasoline per gallon is x.
Since the premium gasoline costs $0.20 more per gallon than regular, the price of premium gasoline per gallon can be expressed as x + $0.20.
Now let's set up the equations:
Equation 1: The total cost of regular gasoline (10 gallons) plus the total cost of premium gasoline (8 gallons) equals $46.96.
10x + 8(x + $0.20) = $46.96
Equation 2: The premium gasoline costs $0.20 more per gallon than regular gasoline.
x + $0.20 = price of premium gasoline
Now we can solve this system of equations to find the values of x and the price of premium gasoline.
Solving Equation 1:
10x + 8x + $1.60 = $46.96
18x = $45.36
x = $45.36 / 18
x = $2.52
The price of regular gasoline per gallon is $2.52.
Substituting x = $2.52 into Equation 2:
price of premium gasoline = $2.52 + $0.20
price of premium gasoline = $2.72
Therefore, the price of regular gasoline is $2.52 per gallon, and the price of premium gasoline is $2.72 per gallon.