High School

Use the conversion table below to find out how many gallons of gasoline will fit into a ship's 60-liter gas tank.

[tex]
\[
\begin{tabular}{|l|c|}
\hline \multicolumn{2}{|c|}{Volume Unit Conversions} \\
\hline To convert... & Multiply by ... \\
\hline Liters to cups & $\frac{4.2 \text{ cups }}{1 \text{ liter }}$ \\
\hline Cups to liters & $\frac{1 \text{ liter }}{4.2 \text{ cups }}$ \\
\hline Liters to gallons & $\frac{1 \text{ gallon }}{3.8 \text{ liters }}$ \\
\hline Gallons to liters & $\frac{3.8 \text{ liters }}{1 \text{ gallon }}$ \\
\hline Milliliters to fluid ounces & $\frac{1 \text{ fluid ounce }}{29.6 \text{ milliliters }}$ \\
\hline Fluid ounces to milliliters & $\frac{29.6 \text{ milliliters }}{1 \text{ fluid ounce }}$ \\
\hline
\end{tabular}
\]
[/tex]

A. 14.3 gallons
B. 228 gallons
C. 15.8 gallons
D. 252 gallons

Answer :

To find out how many gallons of gasoline will fit into a 60-liter gas tank, we need to use the conversion factor from liters to gallons provided in the table. The table tells us that 1 gallon is equivalent to 3.8 liters.

Here's how you convert 60 liters to gallons step by step:

1. Identify the Conversion Factor: From the table, we know that 1 gallon = 3.8 liters. Therefore, the conversion factor from liters to gallons is [tex]\(\frac{1 \text{ gallon}}{3.8 \text{ liters}}\)[/tex].

2. Set up the Conversion: Multiply the number of liters by the conversion factor to convert to gallons:
[tex]\[
\text{Gallons} = 60 \text{ liters} \times \frac{1 \text{ gallon}}{3.8 \text{ liters}}
\][/tex]

3. Calculate:
- When you multiply 60 liters by the conversion factor [tex]\(\frac{1}{3.8}\)[/tex], you get approximately 15.79 gallons.

So, a 60-liter gas tank holds approximately 15.8 gallons of gasoline.

Thus, the correct answer is C. 15.8 gallons.