Question

Brazilian coffee is sold at six dollars per pound. Ethiopian coffee sold is sold at eight dollars per pound. 5 pound Brazil coffee is mixed with 3 pounds of Ethiopian coffee to create a new unique flavor. Find the price for 1 pound of the mix.

Answer 1

Step-by-step explanation:

To find the price for 1 pound of the mix, we can calculate the weighted average of the prices of Brazilian and Ethiopian coffee based on their proportions in the mix.

Let's denote the price per pound for Brazilian coffee as

�

B and for Ethiopian coffee as

�

E.

In this case:

B = $6 (price of Brazilian coffee per pound)

E = $8 (price of Ethiopian coffee per pound)

The mix consists of 5 pounds of Brazilian coffee and 3 pounds of Ethiopian coffee.

The total weight of the mix is

5

+

3

=

8

5+3=8 pounds.

Now, calculate the weighted average price (

�

�

�

WAP):

�

�

�

=

(

�

×

weight of Brazilian coffee

)

+

(

�

×

weight of Ethiopian coffee

)

total weight of the mix

WAP=

total weight of the mix

(B×weight of Brazilian coffee)+(E×weight of Ethiopian coffee)

�

�

�

=

(

6

×

5

)

+

(

8

×

3

)

8

WAP=

8

(6×5)+(8×3)

�

�

�

=

30

+

24

8

WAP=

8

30+24

�

�

�

=

54

8

WAP=

8

54

�

�

�

=

6.75

WAP=6.75

Therefore, the price for 1 pound of the mix is $6.75.

Answer 2

The price for 1 pound of the mixed coffee, combining 5 pounds of Brazilian coffee at $6 per pound with 3 pounds of Ethiopian coffee at $8 per pound, is $6.75.

Step-by-step explanation:

To determine the price for 1 pound of the mixed coffee, we use a weighted average to account for the different quantities and prices of the Brazilian and Ethiopian coffees.

Brazilian coffee is sold at $6 per pound, and Ethiopian coffee is sold at $8 per pound. We have 5 pounds of Brazilian coffee and 3 pounds of Ethiopian coffee mixed together. To find the cost of the entire mixture, we multiple the amount of each coffee by its price and then sum the results: (5 pounds × $6) + (3 pounds × $8). This equals $30 + $24, for a total of $54 for the 8-pound mixture.

To find the price per pound of the mix, we divide the total cost by the total weight of the mixture: $54 ÷ 8 pounds. This gives us $6.75 per pound for the mixed coffee.