Questions: The price of gas is 2.00 per gallon in Florida, well below the average price in California of 3.00 per gallon. If your Ford Taurus has a 20-gallon tank, assuming you are on empty, how much more will you pay for gas in California?
Transcript text: The price of gas is $\$ 2.00$ per gallon in Florida, well below the average price in California of $\$ 3.00$ per gallon. If your Ford Taurus has a 20 -gallon tank, assuming you are on empty, how much more will you pay for gas in California?
Solution
Solution Steps
To determine how much more you will pay for gas in California compared to Florida, you need to calculate the total cost of filling a 20-gallon tank in both states and then find the difference between the two amounts.
Calculate the total cost of filling the tank in Florida.
Calculate the total cost of filling the tank in California.
Subtract the cost in Florida from the cost in California to find the difference.
Step 1: Calculate the Total Cost of Filling the Tank in Florida
The price of gas in Florida is \( \$2.00 \) per gallon. The tank capacity is 20 gallons. Therefore, the total cost of filling the tank in Florida is:
\[
\text{Total Cost in Florida} = 2.00 \, \text{dollars/gallon} \times 20 \, \text{gallons} = 40.00 \, \text{dollars}
\]
Step 2: Calculate the Total Cost of Filling the Tank in California
The price of gas in California is \( \$3.00 \) per gallon. The tank capacity is 20 gallons. Therefore, the total cost of filling the tank in California is:
\[
\text{Total Cost in California} = 3.00 \, \text{dollars/gallon} \times 20 \, \text{gallons} = 60.00 \, \text{dollars}
\]
Step 3: Calculate the Difference in Cost
To find out how much more you will pay for gas in California compared to Florida, subtract the total cost in Florida from the total cost in California:
\[
\text{Difference} = 60.00 \, \text{dollars} - 40.00 \, \text{dollars} = 20.00 \, \text{dollars}
\]
Final Answer
The additional amount paid for gas in California is:
\[
\boxed{20.00 \, \text{dollars}}
\]