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Original Question
You are planning a field trip for the school to go from Indianapolis to Orlando, Florida. A round trip is 2000 miles. The schoo...Question
you’re planning a field trip for the school to go from Indianapolis to Orlando Florida round-trip is 2000 miles to school bus will average 8 miles per gallon
How many gallons will the school bus need to make this round-trip?
if the cost is 350 per gallon of gas then what is the total fuel cost?
Write out then solve and show all your steps
How many gallons will the school bus need to make this round-trip?
if the cost is 350 per gallon of gas then what is the total fuel cost?
Write out then solve and show all your steps
Answers
Answer
It was $3.50 per gallon
Answered by
GPT-4o mini
To solve the problem, we'll break it down into two main parts: determining how many gallons of gas the school bus will need and then calculating the total fuel cost.
### Step 1: Calculate the total gallons of gas needed
1. **Total distance for the round trip:**
Given that the round trip distance from Indianapolis to Orlando is 2000 miles.
2. **Average mileage of the bus:**
The school bus averages 8 miles per gallon.
3. **Calculate the number of gallons needed:**
We can use the formula:
\[
\text{Gallons needed} = \frac{\text{Total distance}}{\text{Miles per gallon}}
\]
Substituting the given numbers:
\[
\text{Gallons needed} = \frac{2000 \text{ miles}}{8 \text{ miles per gallon}} = 250 \text{ gallons}
\]
### Step 2: Calculate the total fuel cost
4. **Cost of gas:**
The cost is given as $350 per gallon.
5. **Calculate total fuel cost:**
We can use the formula:
\[
\text{Total cost} = \text{Gallons needed} \times \text{Cost per gallon}
\]
Substituting the values we calculated:
\[
\text{Total cost} = 250 \text{ gallons} \times 350 \text{ dollars per gallon} = 87,500 \text{ dollars}
\]
### Summary of Results
- Total gallons of gas needed for the round trip: **250 gallons**
- Total fuel cost for the trip: **$87,500**
Thus, the school bus will need 250 gallons of gas, and the total fuel cost will be $87,500 for the round trip from Indianapolis to Orlando.
### Step 1: Calculate the total gallons of gas needed
1. **Total distance for the round trip:**
Given that the round trip distance from Indianapolis to Orlando is 2000 miles.
2. **Average mileage of the bus:**
The school bus averages 8 miles per gallon.
3. **Calculate the number of gallons needed:**
We can use the formula:
\[
\text{Gallons needed} = \frac{\text{Total distance}}{\text{Miles per gallon}}
\]
Substituting the given numbers:
\[
\text{Gallons needed} = \frac{2000 \text{ miles}}{8 \text{ miles per gallon}} = 250 \text{ gallons}
\]
### Step 2: Calculate the total fuel cost
4. **Cost of gas:**
The cost is given as $350 per gallon.
5. **Calculate total fuel cost:**
We can use the formula:
\[
\text{Total cost} = \text{Gallons needed} \times \text{Cost per gallon}
\]
Substituting the values we calculated:
\[
\text{Total cost} = 250 \text{ gallons} \times 350 \text{ dollars per gallon} = 87,500 \text{ dollars}
\]
### Summary of Results
- Total gallons of gas needed for the round trip: **250 gallons**
- Total fuel cost for the trip: **$87,500**
Thus, the school bus will need 250 gallons of gas, and the total fuel cost will be $87,500 for the round trip from Indianapolis to Orlando.
Answered by
GPT-4o mini
Thank you for the clarification regarding the cost of gas being $3.50 per gallon. Let's recalculate the total fuel cost using this new price.
### Step 1: Calculate the Total Gallons of Gas Needed (same as before)
1. **Total distance for the round trip:**
\( 2000 \) miles
2. **Average mileage of the bus:**
\( 8 \) miles per gallon
3. **Calculate the number of gallons needed:**
\[
\text{Gallons needed} = \frac{\text{Total distance}}{\text{Miles per gallon}} = \frac{2000}{8} = 250 \text{ gallons}
\]
### Step 2: Calculate the Total Fuel Cost
4. **Cost of gas:**
\( 3.50 \) dollars per gallon
5. **Calculate total fuel cost:**
\[
\text{Total cost} = \text{Gallons needed} \times \text{Cost per gallon} = 250 \text{ gallons} \times 3.50 \text{ dollars per gallon}
\]
\[
\text{Total cost} = 250 \times 3.50 = 875 \text{ dollars}
\]
### Summary of Results
- Total gallons of gas needed for the round trip: **250 gallons**
- Total fuel cost for the trip: **$875**
Thus, with the adjusted price of gas, the total fuel cost is **$875** for the round trip from Indianapolis to Orlando.
### Step 1: Calculate the Total Gallons of Gas Needed (same as before)
1. **Total distance for the round trip:**
\( 2000 \) miles
2. **Average mileage of the bus:**
\( 8 \) miles per gallon
3. **Calculate the number of gallons needed:**
\[
\text{Gallons needed} = \frac{\text{Total distance}}{\text{Miles per gallon}} = \frac{2000}{8} = 250 \text{ gallons}
\]
### Step 2: Calculate the Total Fuel Cost
4. **Cost of gas:**
\( 3.50 \) dollars per gallon
5. **Calculate total fuel cost:**
\[
\text{Total cost} = \text{Gallons needed} \times \text{Cost per gallon} = 250 \text{ gallons} \times 3.50 \text{ dollars per gallon}
\]
\[
\text{Total cost} = 250 \times 3.50 = 875 \text{ dollars}
\]
### Summary of Results
- Total gallons of gas needed for the round trip: **250 gallons**
- Total fuel cost for the trip: **$875**
Thus, with the adjusted price of gas, the total fuel cost is **$875** for the round trip from Indianapolis to Orlando.
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