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Joanna buys one kilogram of French roast and one kilogram of boxer blend from the Java Hut. Jacob buys two kilograms of French roast and three kilograms of boxer blend. If Joanne spends $18 for her purchase, and Jacob spends $46 for his, what is the price of one kilogram of boxer blend coffee?

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sqdancefan

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Answer:

  $10

Step-by-step explanation:

Let r and b represent the costs of 1 kg of French roast and Boxer blend, respectively. Then the two purchases can be written as ...

  b +r = 18 . . . . . . . Joanna's purchase

  3b +2r = 46 . . . . Jacob's purchase

Subtracting twice the first equation from the second gives us the desired price.

  (3b +2r) -2(b +r) = (46) -2(18)

  b = 10 . . . . . simplify

The price of 1 kg of Boxer Blend coffee is $10.