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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 liters8 \text{ liters} per 100 kilometers100 \text{ kilometers}.\newlineWhat is the fuel efficiency of Lily's car in kilometers\text{kilometers} per liter\text{liter}?\newlinekmL\frac{\text{km}}{\text{L}}

Full solution

Q. Lily's car has a fuel efficiency of 8 liters8 \text{ liters} per 100 kilometers100 \text{ kilometers}.\newlineWhat is the fuel efficiency of Lily's car in kilometers\text{kilometers} per liter\text{liter}?\newlinekmL\frac{\text{km}}{\text{L}}
  1. Understand Information: Understand the given information.\newlineLily's car has a fuel efficiency of 88 liters per 100100 kilometers. We need to find out how many kilometers she can drive per liter of fuel.
  2. Set up Conversion Ratio: Set up the conversion ratio.\newlineThe given fuel efficiency is 8 liters8 \text{ liters} for every 100 kilometers100 \text{ kilometers}. To find the efficiency in kilometers per liter, we need to take the reciprocal of the given ratio.
  3. Calculate Reciprocal: Calculate the reciprocal of the given ratio.\newlineThe reciprocal of 88 liters per 100100 kilometers is 100100 kilometers per 88 liters.
  4. Simplify to Find Efficiency: Simplify the reciprocal to find the fuel efficiency in kilometers per liter.\newlineDivide 100100 kilometers by 88 liters to find out how many kilometers can be driven per liter.\newline100 km8 L=12.5 km/L\frac{100 \text{ km}}{8 \text{ L}} = 12.5 \text{ km/L}

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