Let's break down the information given to us:
Last Weekend:
- Vivek buys 4 packs.
- Carlos buys 3 times as many packs as Vivek: \[ \text{Carlos' packs} = 3 \times 4 = 12 \text{ packs} \]
This Weekend:
- Vivek buys 2 packs.
- Carlos buys 5 times as many packs as Vivek: \[ \text{Carlos' packs} = 5 \times 2 = 10 \text{ packs} \]
Now, we can find the total number of packs both boys buy over the two weekends.
Total Packs Last Weekend: \[ \text{Total Last Weekend} = \text{Vivek} + \text{Carlos} = 4 + 12 = 16 \text{ packs} \]
Total Packs This Weekend: \[ \text{Total This Weekend} = \text{Vivek} + \text{Carlos} = 2 + 10 = 12 \text{ packs} \]
Finally, we can find the total number of packs bought over both weekends: \[ \text{Total Packs Overall} = \text{Total Last Weekend} + \text{Total This Weekend} = 16 + 12 = 28 \text{ packs} \]
We can express this calculation using the following expression: \[ (4 + 3 \times 4) + (2 + 5 \times 2) \]
Thus, the expression that can be used to find the total number of packs of baseball cards both boys buy on both weekends is: \[ (4 + 12) + (2 + 10) \]
Choose the correct option A, B, C, or D based on this derived expression. If you can provide the actual expressions for options A, B, C, and D, I can help identify which one corresponds to this situation.
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