Astore 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 $15. the second mixture has 4 ounces of sumatra and 12 ounces of celebes kalossi, and costs $21. how much does one ounce of sumatra and one ounce of celebes kalossi cost?

y=2.75

step-by-step explanation:

we let x as the cost of one ounce of sumatra and y as the cost of one ounce of celebes kalossi. for mixture 1, we have 12x + 4y = 32 and for mixture b, we have 4x + 12y = 40

first, multiply eq. 1 by 4

4(12x + 4y = 32)4         ⇒     36x + 12y = 96

we now have 

(36x + 12y = 96) – (4x + 12y = 40)

x = 1.75     ⇒ cost of one ounce of sumatra 

substitute x to either equation to get the value of y

12(1.75) + 4y = 324

y = 32-21

4y = 11

y = 2.75     ⇒ cost of one ounce of celebes kalossi

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