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Lily's car has a fuel efficiency of 8 liters per 100 kilometers.
What is the fuel efficiency of Lily's car in kilometers per liter?

(km)/(L)

Lily's car has a fuel efficiency of $8 \text{ liters}$ per $100 \text{ kilometers}$ . $\newline$ What is the fuel efficiency of Lily's car in $\text{kilometers}$ per $\text{liter}$ ? $\newline$ $\frac{\text{km}}{\text{L}}$

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Convert rates and measurements: customary units

Full solution

Q. Lily's car has a fuel efficiency of

8 \text{ liters}

per

100 \text{ kilometers}

.

\newline

What is the fuel efficiency of Lily's car in

\text{kilometers}

per

\text{liter}

?

\newline

\frac{\text{km}}{\text{L}}

Understand Information: Understand the given information. $\newline$ Lily's car has a fuel efficiency of $8$ liters per $100$ kilometers. We need to find out how many kilometers she can drive per liter of fuel.
Set up Conversion Ratio: Set up the conversion ratio. $\newline$ The given fuel efficiency is $8 \text{ liters}$ for every $100 \text{ kilometers}$ . To find the efficiency in kilometers per liter, we need to take the reciprocal of the given ratio.
Calculate Reciprocal: Calculate the reciprocal of the given ratio. $\newline$ The reciprocal of $8$ liters per $100$ kilometers is $100$ kilometers per $8$ liters.
Simplify to Find Efficiency: Simplify the reciprocal to find the fuel efficiency in kilometers per liter. $\newline$ Divide $100$ kilometers by $8$ liters to find out how many kilometers can be driven per liter. $\newline$ $\frac{100 \text{ km}}{8 \text{ L}} = 12.5 \text{ km/L}$

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