If 1 gallon of gasoline weighs 6 lbs, find the weight of 20 liters in kilograms given that 1 Kg = 2.2 lbs and 1 liter = 1.06 quarts. —— kg
The Correct Answer and Explanation is:
To solve this problem, we need to first convert the given 20 liters of gasoline into a weight in pounds and then convert that weight to kilograms.
Step 1: Convert liters to gallons
We are given that 1 liter = 1.06 quarts, and 1 gallon = 4 quarts. To convert 20 liters to gallons:20 liters=20×1.06 quarts1 liter=21.2 quarts20 \text{ liters} = 20 \times \frac{1.06 \text{ quarts}}{1 \text{ liter}} = 21.2 \text{ quarts}20 liters=20×1 liter1.06 quarts=21.2 quarts
Now convert quarts to gallons:21.2 quarts=21.2 quarts4 quarts per gallon=5.3 gallons21.2 \text{ quarts} = \frac{21.2 \text{ quarts}}{4 \text{ quarts per gallon}} = 5.3 \text{ gallons}21.2 quarts=4 quarts per gallon21.2 quarts=5.3 gallons
Step 2: Calculate the weight of gasoline in pounds
We are told that 1 gallon of gasoline weighs 6 lbs. Therefore, the weight of 5.3 gallons is:Weight in pounds=5.3 gallons×6 lbs per gallon=31.8 lbs\text{Weight in pounds} = 5.3 \text{ gallons} \times 6 \text{ lbs per gallon} = 31.8 \text{ lbs}Weight in pounds=5.3 gallons×6 lbs per gallon=31.8 lbs
Step 3: Convert pounds to kilograms
We are also given that 1 kg = 2.2 lbs. To convert the weight from pounds to kilograms:Weight in kilograms=31.8 lbs2.2 lbs per kg=14.45 kg\text{Weight in kilograms} = \frac{31.8 \text{ lbs}}{2.2 \text{ lbs per kg}} = 14.45 \text{ kg}Weight in kilograms=2.2 lbs per kg31.8 lbs=14.45 kg
Thus, the weight of 20 liters of gasoline is approximately 14.45 kg.
