There are 33.8 fluid ounces in a liter. There are 128 fluid ounces in a gallon. How many liters per gallon ( Hint: find the unit rate for liters per gallon)
The Correct Answer and Explanation is:
To find the unit rate for liters per gallon, we need to calculate how many liters are in one gallon.
Step-by-Step Calculation:
- Given Information:
- There are 33.8 fluid ounces in 1 liter.
- There are 128 fluid ounces in 1 gallon.
- Conversion Setup:
To find how many liters are in 1 gallon, we set up a proportion: 33.8 fluid ounces1 liter=128 fluid ouncesx liters\frac{33.8 \text{ fluid ounces}}{1 \text{ liter}} = \frac{128 \text{ fluid ounces}}{x \text{ liters}}1 liter33.8 fluid ounces=x liters128 fluid ounces Where xxx represents the number of liters per gallon. - Solving for xxx:
We cross-multiply to solve for xxx: 33.8⋅x=12833.8 \cdot x = 12833.8⋅x=128 Now divide both sides by 33.8: x=12833.8x = \frac{128}{33.8}x=33.8128 x≈3.78x \approx 3.78x≈3.78
So, the unit rate is approximately 3.78 liters per gallon.
Explanation:
This means that for every gallon of liquid, there are about 3.78 liters. We derived this rate by comparing the fluid ounce-to-liter ratio with the fluid ounce-to-gallon ratio. This conversion is useful in many practical situations, such as when you’re trying to convert between liters and gallons for liquid measurements. For instance, if you’re working with a large container and want to know its volume in liters but only have its volume in gallons, you can use this unit rate to convert.
