Which comparison is correct? A) 2 pints = 2 cups B) 2 feet < 20 inches C) 3 yards > 8 feet D) 4 quarts > 2 gallons
Understand the Problem
The question is asking which of the given comparisons related to measurements is correct. Each option presents a different measurement comparison that needs to be evaluated for accuracy.
Answer
The correct comparison is \( 3 \text{ yards} > 8 \text{ feet} \).
Answer for screen readers
The correct comparison is: ( 3 \text{ yards} > 8 \text{ feet} ).
Steps to Solve
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Convert measurements in Option A
We know that 1 pint is equal to 2 cups. Thus, $$ 2 \text{ pints} = 2 \times 2 \text{ cups} = 4 \text{ cups} $$ This makes the comparison $2 \text{ pints} = 4 \text{ cups}$, which is incorrect.
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Convert measurements in Option B
We know that 2 feet equals 24 inches (since $1 \text{ foot} = 12 \text{ inches}$). Therefore: $$ 2 \text{ feet} = 2 \times 12 \text{ inches} = 24 \text{ inches} $$ This means the comparison $2 \text{ feet} < 20 \text{ inches}$ is incorrect.
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Convert measurements in Option C
We know that 3 yards equals 9 feet (since $1 \text{ yard} = 3 \text{ feet}$). Therefore: $$ 3 \text{ yards} = 3 \times 3 \text{ feet} = 9 \text{ feet} $$ This makes the comparison $3 \text{ yards} > 8 \text{ feet}$ correct.
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Convert measurements in Option D
We know that 1 gallon is equal to 4 quarts. Therefore: $$ 4 \text{ quarts} = 1 \text{ gallon} $$ This means $4 \text{ quarts} > 2 \text{ gallons}$ is incorrect, since $4 \text{ quarts} = 1 \text{ gallon}$.
The correct comparison is: ( 3 \text{ yards} > 8 \text{ feet} ).
More Information
In this problem, we compared various unit measurements related to volume and distance. Recognizing the relations between different units is crucial in answering such questions accurately.
Tips
- Assuming that all units are equal without conversions.
- Miscalculating basic conversions, like how many inches are in a foot or how many cups are in a pint.
- Not realizing that 4 quarts equal 1 gallon before making comparisons.
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