To find out whether there is enough information to find the cost of one gallon of gasoline and one quarts of oil.
Answer to Problem 12CT
No.
Explanation of Solution
Given:
The
Calculation:
Let
Let
The two equations are:
On multiplying Equation 2 by 2, will yield the equation 1 so they are the same as shown below
Therefore, the costs cannot be determined.
To find out whether there is enough information to find the cost of one gallon of gasoline and one quarts of oil using the new receipt.
Answer to Problem 12CT
Yes.
Explanation of Solution
Given:
The given graph is −
Calculation:
Yes.
From the receipt, we can set up a new equation for 8 gallons of gasoline and 2 quarts of oil: which is not the same as the equations in (a).
To find the cost for 1 gallon of gasoline and the cost of 1 quart of oil.
Answer to Problem 12CT
The cost for 1 gallon of gasoline is
Explanation of Solution
Given:
The
Calculation:
Use the equations from part (a) and (b).
Subtract equation 1 and equation 2 to eliminate 2y as shown below.
Now, substitute the value of in Equation 1 as shown below:
Therefore, the cost for 1 gallon of gasoline is
Chapter 5 Solutions
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