After visiting Florida State University during spring break, Francisco rents a car for 2 days to travel around Florida. He has $255 to spend on car rental for the 2 days. Sea horse Car Rental charges $50 per day and $0.25 per mile. Ocean Blue Car Rental charges $60 per day and $0.20 per mile. Which company, if either, allows him to travel more miles for the 2 days, and how many miles more?
(Note: Taxes are already included in the rental charges)

Options

A. Sea-Horse, 20
B. Ocean Blue, 55
C. Ocean Blue, 100
D. Sea Horse, 135`

Answer

To solve the problem, we will calculate how many miles Francisco can travel with each car rental company based on their charges and his budget of $255.

### Step 1: Calculate the total cost for Seahorse Car Rental
Seahorse Car Rental charges $50 per day for 2 days and $0.25 per mile.

- **Cost for 2 days**:
\[ \text{Cost for 2 days} = 2 \times 50 = 100 \text{ dollars} \]

- **Remaining budget for miles**:
\[ \text{Remaining budget} = 255 - 100 = 155 \text{ dollars} \]

### Step 2: Set up the equation for miles with Seahorse Car Rental
Let \( X \) be the number of miles Francisco can travel with Seahorse. The cost for miles is $0.25 per mile, so we set up the equation:
\[ 0.25X = 155 \]

### Step 3: Solve for \( X \)
To find \( X \), divide both sides of the equation by 0.25:
\[ X = \frac{155}{0.25} = 620 \text{ miles} \]

### Step 4: Calculate the total cost for Ocean Blue Car Rental
Ocean Blue Car Rental charges $60 per day for 2 days and $0.20 per mile.

- **Cost for 2 days**:
\[ \text{Cost for 2 days} = 2 \times 60 = 120 \text{ dollars} \]

- **Remaining budget for miles**:
\[ \text{Remaining budget} = 255 - 120 = 135 \text{ dollars} \]

### Step 5: Set up the equation for miles with Ocean Blue Car Rental
Let \( Y \) be the number of miles Francisco can travel with Ocean Blue. The cost for miles is $0.20 per mile, so we set up the equation:
\[ 0.20Y = 135 \]

### Step 6: Solve for \( Y \)
To find \( Y \), divide both sides of the equation by 0.20:
\[ Y = \frac{135}{0.20} = 675 \text{ miles} \]

### Step 7: Compare the miles traveled with both companies
Now we compare the miles:
- Miles with Seahorse: \( X = 620 \)
- Miles with Ocean Blue: \( Y = 675 \)

### Step 8: Calculate the difference in miles
To find out how many more miles Francisco can travel with Ocean Blue compared to Seahorse, we calculate:
\[ Y - X = 675 - 620 = 55 \text{ miles} \]

### Conclusion
Ocean Blue Car Rental allows Francisco to travel 55 more miles than Seahorse Car Rental.

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