To find out how many gallons of lemonade Tia can make, we first need to determine how many cups of strawberries are required for one gallon of lemonade. The recipe calls for \( \frac{2}{3} \) cup of strawberries per gallon.
Next, we will find out how many gallons of lemonade Tia can make with the 6 cups of strawberries she has:
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Calculate how many gallons of lemonade can be made from the available strawberries: \[ \text{Number of gallons} = \frac{\text{Total cups of strawberries}}{\text{Cups of strawberries per gallon}} \] Plugging in the numbers: \[ \text{Number of gallons} = \frac{6}{\frac{2}{3}} \]
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Dividing by a fraction is the same as multiplying by its reciprocal: \[ \text{Number of gallons} = 6 \times \frac{3}{2} \]
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Now, perform the multiplication: \[ 6 \times \frac{3}{2} = \frac{18}{2} = 9 \]
Thus, Tia can make 9 gallons of strawberry lemonade.
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