Question
A 2-column table with 4 rows. Column 1 is labeled Bag Size with entries 2 pound, 6 pound, 8 pound, 12 pound. Column 2 is labeled Price with entries 4 dollars and 50 cents, 12 dollars and 30 cents, 16 dollars and 80 cents, 25 dollars and 20 cents.
Darryl needs 84 pounds of coffee for his deli. Use the prices for the different-size bags shown in the table to identify which size bag he should buy, the number of bags he will need, and the total price for that number of bags.
Which size bag should Darryl buy?
How many of those bags will he need?
What will be the total cost of the coffee?
Darryl needs 84 pounds of coffee for his deli. Use the prices for the different-size bags shown in the table to identify which size bag he should buy, the number of bags he will need, and the total price for that number of bags.
Which size bag should Darryl buy?
How many of those bags will he need?
What will be the total cost of the coffee?
Answers
GPT-4o mini
To determine which size bag Darryl should buy, we'll first calculate how many bags he needs for each size and their respective total costs.
1. **2-pound bags:**
- Bags needed: \( \frac{84 \text{ pounds}}{2 \text{ pounds/bag}} = 42 \text{ bags} \)
- Price per bag: $4.50
- Total cost: \( 42 \text{ bags} \times 4.50 \text{ dollars/bag} = 189 \text{ dollars} \)
2. **6-pound bags:**
- Bags needed: \( \frac{84 \text{ pounds}}{6 \text{ pounds/bag}} = 14 \text{ bags} \)
- Price per bag: $12.30
- Total cost: \( 14 \text{ bags} \times 12.30 \text{ dollars/bag} = 172.20 \text{ dollars} \)
3. **8-pound bags:**
- Bags needed: \( \frac{84 \text{ pounds}}{8 \text{ pounds/bag}} = 10.5 \text{ bags} \) (Since he can't buy half a bag, he will need to round up to 11 bags).
- Price per bag: $16.80
- Total cost: \( 11 \text{ bags} \times 16.80 \text{ dollars/bag} = 184.80 \text{ dollars} \)
4. **12-pound bags:**
- Bags needed: \( \frac{84 \text{ pounds}}{12 \text{ pounds/bag}} = 7 \text{ bags} \)
- Price per bag: $25.20
- Total cost: \( 7 \text{ bags} \times 25.20 \text{ dollars/bag} = 176.40 \text{ dollars} \)
### Summary:
- **2-pound bags:**
- Bags needed: 42
- Total cost: $189.00
- **6-pound bags:**
- Bags needed: 14
- Total cost: $172.20
- **8-pound bags:**
- Bags needed: 11
- Total cost: $184.80
- **12-pound bags:**
- Bags needed: 7
- Total cost: $176.40
### Conclusion:
Darryl should buy the **6-pound bags** since they provide the lowest total cost of **$172.20**. He will need **14 bags**.
1. **2-pound bags:**
- Bags needed: \( \frac{84 \text{ pounds}}{2 \text{ pounds/bag}} = 42 \text{ bags} \)
- Price per bag: $4.50
- Total cost: \( 42 \text{ bags} \times 4.50 \text{ dollars/bag} = 189 \text{ dollars} \)
2. **6-pound bags:**
- Bags needed: \( \frac{84 \text{ pounds}}{6 \text{ pounds/bag}} = 14 \text{ bags} \)
- Price per bag: $12.30
- Total cost: \( 14 \text{ bags} \times 12.30 \text{ dollars/bag} = 172.20 \text{ dollars} \)
3. **8-pound bags:**
- Bags needed: \( \frac{84 \text{ pounds}}{8 \text{ pounds/bag}} = 10.5 \text{ bags} \) (Since he can't buy half a bag, he will need to round up to 11 bags).
- Price per bag: $16.80
- Total cost: \( 11 \text{ bags} \times 16.80 \text{ dollars/bag} = 184.80 \text{ dollars} \)
4. **12-pound bags:**
- Bags needed: \( \frac{84 \text{ pounds}}{12 \text{ pounds/bag}} = 7 \text{ bags} \)
- Price per bag: $25.20
- Total cost: \( 7 \text{ bags} \times 25.20 \text{ dollars/bag} = 176.40 \text{ dollars} \)
### Summary:
- **2-pound bags:**
- Bags needed: 42
- Total cost: $189.00
- **6-pound bags:**
- Bags needed: 14
- Total cost: $172.20
- **8-pound bags:**
- Bags needed: 11
- Total cost: $184.80
- **12-pound bags:**
- Bags needed: 7
- Total cost: $176.40
### Conclusion:
Darryl should buy the **6-pound bags** since they provide the lowest total cost of **$172.20**. He will need **14 bags**.