Q
QuestionMathematics

Convert 24 oz/qt to pounds per gallon (lb/gal). Round the answer to the nearest tenth, if necessary. Given: 1 lb = 16 oz 1 gal = 4 qt Options: A. 98 lb/gal B. 980 lb/gal C. 60 lb/gal D. 6 lb/gal
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Answer

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Step 1:
I'll solve this step by step using precise LaTeX formatting:

Step 2:
: Convert oz/qt to oz/gal

24 \frac{\text{oz}}{\text{qt}} \times 4 \frac{\text{qt}}{\text{gal}} = 96 \frac{\text{oz}}{\text{gal}}
• There are 4 qt in 1 gal • Multiply the given rate by 4

Step 3:
: Convert oz to lb

\frac{96 \frac{\text{oz}}{\text{gal}}}{16 \frac{\text{oz}}{\text{lb}}} = 6 \frac{\text{lb}}{\text{gal}}
• We know 1 lb = 16 oz • Divide total oz by 16 to get lb

Step 4:
: Verify the calculation

• $$96 \div 16 = 6
• Units check out: \frac{\text{oz}}{\text{gal}} \div \frac{\text{oz}}{\text{lb}} = \frac{\text{lb}}{\text{gal}}

Final Answer

6 lb/gal (Option D)