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Answer :
To determine the number of 10-pound bags of rice the restaurant needs to purchase to last 3 weeks, follow these steps:
1. Calculate the total amount of rice needed per day: The restaurant uses 4.5 pounds of rice each day.
2. Determine the total amount of rice used in a week: Since the restaurant is open 7 days a week, multiply the daily usage by the number of days in a week.
[tex]\( \text{Total rice per week} = 4.5 \text{ pounds/day} \times 7 \text{ days/week} = 31.5 \text{ pounds/week} \)[/tex]
3. Calculate the total amount of rice needed for 3 weeks: Multiply the weekly usage by 3.
[tex]\( \text{Total rice for 3 weeks} = 31.5 \text{ pounds/week} \times 3 \text{ weeks} = 94.5 \text{ pounds} \)[/tex]
4. Determine the number of 10-pound bags required: Since each bag contains 10 pounds of rice, divide the total rice needed by 10.
[tex]\( \text{Number of bags needed} = \frac{94.5 \text{ pounds}}{10 \text{ pounds/bag}} = 9.45 \text{ bags} \)[/tex]
5. Round up to the nearest whole number: Since you can't purchase a fraction of a bag, round 9.45 up to the nearest whole number, which is 10.
So, the restaurant needs to purchase 10 bags of rice to last for 3 weeks.
1. Calculate the total amount of rice needed per day: The restaurant uses 4.5 pounds of rice each day.
2. Determine the total amount of rice used in a week: Since the restaurant is open 7 days a week, multiply the daily usage by the number of days in a week.
[tex]\( \text{Total rice per week} = 4.5 \text{ pounds/day} \times 7 \text{ days/week} = 31.5 \text{ pounds/week} \)[/tex]
3. Calculate the total amount of rice needed for 3 weeks: Multiply the weekly usage by 3.
[tex]\( \text{Total rice for 3 weeks} = 31.5 \text{ pounds/week} \times 3 \text{ weeks} = 94.5 \text{ pounds} \)[/tex]
4. Determine the number of 10-pound bags required: Since each bag contains 10 pounds of rice, divide the total rice needed by 10.
[tex]\( \text{Number of bags needed} = \frac{94.5 \text{ pounds}}{10 \text{ pounds/bag}} = 9.45 \text{ bags} \)[/tex]
5. Round up to the nearest whole number: Since you can't purchase a fraction of a bag, round 9.45 up to the nearest whole number, which is 10.
So, the restaurant needs to purchase 10 bags of rice to last for 3 weeks.
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