How many gallons are equivalent to 42 liters? (Use 1 gallon = 3.785 liters)

• A. 42 gallons
• B. 15.6 gallons
• C. 7.5 gallons
• D. 11.1 gallons

Answer: (D)

Verified step by step guidance

1. Identify the given quantity and the conversion factor: you have 42 liters and 1 gallon is equivalent to 3.785 liters.
2. Set up the conversion using the relationship between liters and gallons. Since 1 gallon = 3.785 liters, you can write the conversion factor as \( \frac{1 \text{ gallon}}{3.785 \text{ liters}} \).
3. Multiply the given volume in liters by the conversion factor to convert liters to gallons: \( 42 \text{ liters} \times \frac{1 \text{ gallon}}{3.785 \text{ liters}} \).
4. Notice that the units of liters cancel out, leaving you with gallons as the unit for the answer.
5. Perform the division to find the number of gallons equivalent to 42 liters (do not calculate the final number here, just set up the expression).