To determine the wholesale price of each water bottle, we can use the markup percentage given and the dollar amount associated with it.
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Understand the markup: The snack bar marks up the water bottles by \(33 \frac{1}{3}%\). This can also be expressed as a fraction: \[ 33 \frac{1}{3}% = \frac{1}{3} \text{ or } 0.3333 \]
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Set up the equation: If \( x \) is the wholesale price, the markup in dollars is \( \frac{1}{3}x \). According to the problem, this markup amounts to $0.28. Therefore, the equation can be set as: \[ \frac{1}{3}x = 0.28 \]
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Solve for \( x \): \[ x = 0.28 \times 3 = 0.84 \]
Thus, the wholesale price of each water bottle is \( \boxed{0.84} \).