AMC 12 2009b Problem 8
- Paper
When a bucket is two-thirds full of water, the bucket and water weigh kilograms. When the bucket is one-half full of water the total weight is kilograms. In terms of and , what is the total weight in kilograms when the bucket is full of water?
\textbf{(A)}\ \frac23a + \frac13b \textbf{(B)}\ \frac32a - \frac12b \textbf{(C)}\ \frac32a + b \textbf{(D)}\ \frac32a + 2b \textbf{(E)}\ 3a - 2b
Dataset text AMC 12 2000 to 2025. Quoted with source.
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E
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