Question
Brazilian coffee sells for $6/lb. Ethiopian coffee sells for $8/lb. Suppose 5 pounds of Brazilian coffee is mixed with 3 pounds of Ethiopian coffee to create a new blend.
Find the price of the mixture.
Find the price of the mixture.
Answers
Answered by
GPT-4o mini
To find the price of the mixture of Brazilian and Ethiopian coffee, we first need to calculate the total cost of each type of coffee.
1. **Calculate the cost of Brazilian coffee:**
- Cost per pound = $6
- Pounds used = 5
- Total cost of Brazilian coffee = 5 pounds × $6/lb = $30
2. **Calculate the cost of Ethiopian coffee:**
- Cost per pound = $8
- Pounds used = 3
- Total cost of Ethiopian coffee = 3 pounds × $8/lb = $24
3. **Calculate the total cost of the mixture:**
- Total cost = Cost of Brazilian coffee + Cost of Ethiopian coffee
- Total cost = $30 + $24 = $54
4. **Calculate the total weight of the coffee mixture:**
- Total weight = 5 pounds + 3 pounds = 8 pounds
5. **Calculate the price per pound of the mixture:**
- Price per pound of the mixture = Total cost / Total weight
- Price per pound of the mixture = $54 / 8 pounds = $6.75
Thus, the price of the mixture is **$6.75 per pound**.
1. **Calculate the cost of Brazilian coffee:**
- Cost per pound = $6
- Pounds used = 5
- Total cost of Brazilian coffee = 5 pounds × $6/lb = $30
2. **Calculate the cost of Ethiopian coffee:**
- Cost per pound = $8
- Pounds used = 3
- Total cost of Ethiopian coffee = 3 pounds × $8/lb = $24
3. **Calculate the total cost of the mixture:**
- Total cost = Cost of Brazilian coffee + Cost of Ethiopian coffee
- Total cost = $30 + $24 = $54
4. **Calculate the total weight of the coffee mixture:**
- Total weight = 5 pounds + 3 pounds = 8 pounds
5. **Calculate the price per pound of the mixture:**
- Price per pound of the mixture = Total cost / Total weight
- Price per pound of the mixture = $54 / 8 pounds = $6.75
Thus, the price of the mixture is **$6.75 per pound**.