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

Question

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

Answer 1

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.

Answer 2

It was $3.50 per gallon

Answer 3

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.