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QuestionMathematics

How many miles can you travel on $15 of gas money, assuming the current price for gasoline is $3.25 per gallon and your car gets an average of 27 miles per gallon?
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Answer

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Step 1:
I'll solve this problem step by step following the specified LaTeX formatting guidelines:

Step 2:
: Calculate how many gallons of gas you can buy with $15

\text{Gallons of gas} = \frac{\$15}{\$3.25 \text{ per gallon}} = 4.615 \text{ gallons}

Step 3:
: Calculate total miles traveled using miles per gallon

\text{Miles traveled} = 4.615 \text{ gallons} \times 27 \frac{\text{miles}}{\text{gallon}}

Step 4:
: Perform the multiplication

\text{Miles traveled} = 124.61 \text{ miles}

Step 5:
: Round to a reasonable precision

\text{Miles traveled} \approx 125 \text{ miles}

Final Answer

Key insights: - Divide total money by price per gallon to find gallons purchased - Multiply gallons by miles per gallon to determine total distance - Always check units cancel appropriately in calculations