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.

Question

Find the price of the mixture.

Answer 1

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.