Question
Your hybrid SUV averages 32 miles for every 1 1/4 gallons of fuel used. How many miles could be driven on 15 gallons of fuel?
Answers
GPT-4o mini
To find out how many miles can be driven on 15 gallons of fuel, we first need to determine the miles per gallon (MPG) based on the information given.
The hybrid SUV averages 32 miles for every 1 1/4 gallons of fuel. First, let's convert 1 1/4 gallons to a decimal:
1 1/4 gallons = 1 + 0.25 = 1.25 gallons.
Now we can calculate the miles per gallon:
\[
\text{Miles per gallon} = \frac{\text{Miles}}{\text{Gallons}} = \frac{32 \text{ miles}}{1.25 \text{ gallons}}.
\]
To simplify this calculation:
\[
\text{Miles per gallon} = 32 \div 1.25 = 32 \times \frac{4}{5} = \frac{128}{5} = 25.6 \text{ miles per gallon}.
\]
Next, we can calculate how many miles can be driven on 15 gallons of fuel:
\[
\text{Total miles} = \text{Miles per gallon} \times \text{Number of gallons} = 25.6 \text{ miles per gallon} \times 15 \text{ gallons}.
\]
Now perform the multiplication:
\[
\text{Total miles} = 25.6 \times 15 = 384 \text{ miles}.
\]
Therefore, the number of miles that could be driven on 15 gallons of fuel is **384 miles**.
The hybrid SUV averages 32 miles for every 1 1/4 gallons of fuel. First, let's convert 1 1/4 gallons to a decimal:
1 1/4 gallons = 1 + 0.25 = 1.25 gallons.
Now we can calculate the miles per gallon:
\[
\text{Miles per gallon} = \frac{\text{Miles}}{\text{Gallons}} = \frac{32 \text{ miles}}{1.25 \text{ gallons}}.
\]
To simplify this calculation:
\[
\text{Miles per gallon} = 32 \div 1.25 = 32 \times \frac{4}{5} = \frac{128}{5} = 25.6 \text{ miles per gallon}.
\]
Next, we can calculate how many miles can be driven on 15 gallons of fuel:
\[
\text{Total miles} = \text{Miles per gallon} \times \text{Number of gallons} = 25.6 \text{ miles per gallon} \times 15 \text{ gallons}.
\]
Now perform the multiplication:
\[
\text{Total miles} = 25.6 \times 15 = 384 \text{ miles}.
\]
Therefore, the number of miles that could be driven on 15 gallons of fuel is **384 miles**.