Explain solution please. Topic: The Elimination Method Sumatra combined A store

Question

Explain solution please.

Topic: The Elimination Method Sumatra combined A store is selling two mixtures of coffee beans in one-pound bags. The first mixture has 12 ounces of Sumatra combined ith 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? tounces of Celebes Kaloss,and costs $42 The second minture has S3.00 for Sumatra and $1.50 for Celebes Kalossi There is no solution. $2.40 for Sumatra and $3.30 for Celebes Kalossi O $1.50 for Sumatra and $3.00 for Celebes Kalossi

Explanation / Answer

let one ounce cost $ x

and one ounce of celebes kalosi cost $ y

12x + 4y = 42

4x + 12 y = 30

multiplying equation 1 by -3

-36x - 12y = -126

4x + 12y = 30

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

-32x = -96

x = 3

12(3) + 4y = 42

y = 1.5

hence, $3 for sumatra and $ 1.5 for celebes kalossi

1st option is correct

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