Question

A store is selling two mixtures of coffee beans in one-pound bags. The first mixture has 12 ounces of Sumatra combined with 4 ounces of Celebes Kalossi, and costs $42 The second mixture has 4 ounces of Sumatra and 12 ounces of Celebes Kalossi, and costs $30 How much does one ounce of Sumatra and one ounce of Celebes Kalossi cost?

Answer 1

I think the answer is no solution

Answer 2

Cost of One ounce Sumatra = $3.00

and one ounce Celebes Kalossi = $1.50

Explanation:

Let the cost of Sumatra be 'x' and Kalossi be 'y'

From the statement "12 ounces of Sumatra combined with 4 ounces of Celebes Kalossi costs $42.00" we make equation (1)

12x + 4y = 42 ---------(1)

From the second statement "4 ounces of Sumatra and 12 ounces of Celebes Kalossi, costs $30

4x + 12y = 30 ---------(2)

Multiplying equation (1) by -3

-36x - 12y = - 126

4x + 12y = 30

-------------------------

-32x = - 96

x = 3

12(3) + 4y = 42

y = 1.5

Therefore, the cost of one ounce of Sumatra $3.00 and the cost of one ounce of Celebes Kalossi would be $1.50