Convert 24 oz/qt to pounds per gallon (lb/gal). Round
the answer to the nearest tenth, if necessary.
1 lb = 16 oz
1 gal = 4 qt
A 98 lb/gal
B 980 lb/gal
C 60 lb/gal
D 6 lb/gal
The Correct Answer and Explanation is :
To solve the conversion of 24 oz/qt to pounds per gallon (lb/gal), we can break it down into steps using the given conversion factors:
Given:
- 1 lb = 16 oz (oz to lb conversion)
- 1 gal = 4 qt (qt to gal conversion)
- You need to convert 24 oz per quart to pounds per gallon.
Step-by-step Conversion:
- Convert ounces to pounds:
- Since 1 lb = 16 oz, we can convert 24 oz to pounds by dividing by 16: [
\frac{24 \, \text{oz}}{16} = 1.5 \, \text{lb}
]
So, 24 oz is equivalent to 1.5 lb per quart.
- Convert quarts to gallons:
- We know that 1 gallon is equal to 4 quarts (1 gal = 4 qt).
- Therefore, to find the number of pounds per gallon, we need to multiply the pounds per quart by the number of quarts in a gallon: [
1.5 \, \text{lb/qt} \times 4 \, \text{qt/gal} = 6 \, \text{lb/gal}
]
Final Answer:
The correct answer is D: 6 lb/gal.
Explanation:
- First, we converted the given ounces (24 oz) to pounds (1.5 lb) using the conversion factor 1 lb = 16 oz.
- Next, we converted the pounds per quart (1.5 lb/qt) into pounds per gallon by multiplying by the number of quarts per gallon (4 qt/gal).
- This yields the final result of 6 lb/gal, which is the correct answer.
This process involves understanding unit conversion between ounces, pounds, quarts, and gallons, and applying the correct mathematical operations to get the desired result in pounds per gallon.