To find out how many more bottles of water than bags of popcorn Mr. Nelson will sell in 5 days, we first need to determine the daily sales rate for both popcorn and water based on the information given.
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Calculate the daily sales:
- Total bags of popcorn sold in 3 days: 147
- Total bottles of water sold in 3 days: 216
Daily sales for popcorn: \[ \text{Daily popcorn sales} = \frac{147 \text{ bags}}{3 \text{ days}} = 49 \text{ bags/day} \]
Daily sales for water: \[ \text{Daily water sales} = \frac{216 \text{ bottles}}{3 \text{ days}} = 72 \text{ bottles/day} \]
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Calculate the sales for 5 days:
For popcorn in 5 days: \[ \text{Popcorn sold in 5 days} = 49 \text{ bags/day} \times 5 \text{ days} = 245 \text{ bags} \]
For water in 5 days: \[ \text{Water sold in 5 days} = 72 \text{ bottles/day} \times 5 \text{ days} = 360 \text{ bottles} \]
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Determine how many more bottles of water than bags of popcorn will be sold: \[ \text{Difference} = \text{Water sold} - \text{Popcorn sold} = 360 \text{ bottles} - 245 \text{ bags} = 115 \]
Therefore, Mr. Nelson will sell 115 more bottles of water than bags of popcorn in 5 days.