To find the total amount that Lucy spent on video game and DVD rentals, we can use the following calculations:
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Calculate the total cost of the video games:
- Number of video games rented: 10
- Rental price per video game: $2.30 \[ \text{Total cost for video games} = \text{Number of video games} \times \text{Price per video game} = 10 \times 2.30 = 23.00 \]
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Calculate the total cost of the DVDs:
- Number of DVDs rented: 3
- Rental price per DVD: $2.70 \[ \text{Total cost for DVDs} = \text{Number of DVDs} \times \text{Price per DVD} = 3 \times 2.70 = 8.10 \]
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Add the total costs of both rentals: \[ \text{Total amount spent} = \text{Total cost for video games} + \text{Total cost for DVDs} = 23.00 + 8.10 = 31.10 \]
Thus, the total amount that Lucy spent on video game and DVD rentals in the past month is $31.10.