If popcorn sells for half price during the movie, then the price of one popcorn would be:
\[ \text{Half Price Popcorn} = \frac{3.50}{2} = 1.75 \]
The cost of one drink remains at \(1.35\).
Now, to find the total cost for 3 popcorns and 3 drinks:
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Cost of 3 popcorns: \[ 3 \times 1.75 = 5.25 \]
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Cost of 3 drinks: \[ 3 \times 1.35 = 4.05 \]
Now, add the two totals together: \[ 5.25 + 4.05 = 9.30 \]
Therefore, the total cost of buying 3 popcorns and 3 drinks when the movie is halfway over is $9.30.