To find the total number of gallons of tea needed for the catered lunch, we can follow these steps:
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Calculate the total number of minutes of the lunch: \[ 2 \text{ hours} = 2 \times 60 \text{ minutes} = 120 \text{ minutes} \]
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Calculate the total number of cups of tea poured: Given that an average of 4 cups of tea are poured per minute, we can calculate: \[ \text{Total cups} = 4 \text{ cups/minute} \times 120 \text{ minutes} = 480 \text{ cups} \]
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Convert cups to gallons: Since there are 16 cups in one gallon, we can convert cups to gallons by dividing the total number of cups by the number of cups per gallon: \[ \text{Total gallons} = \frac{480 \text{ cups}}{16 \text{ cups/gallon}} = 30 \text{ gallons} \]
Thus, the caterer should bring \(\boxed{30}\) gallons of tea.