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algebra 2 need help?

for $28, a customer purchased 2 pounds of a kona-blend coffee and 3 pounds of a mocha-blend coffee. a second customer purchased 4 pounds of the kona coffee and 2 pounds of the mocha coffee for a total of 32. find the cost per pound of each type of coffee.

Let the cost per pound for kona blend coffee be x
and for mocha blend coffee be y

Customer 1:
2x + 3y = 28 —eq1
Customer 2:
4x + 2y = 32 —eq 2

Multiplying eq 1 by -2 and then adding eq 2
-4x -6y = -56 — eq 1 x -2
4x + 2y = 32 — eq 2

After addition we get

-4y = -24
4y = 24
y = 24/4 = 6

Substituting the value of y in eq 1, we get
2x + 3 ( 6) = 28
2x + 18 = 28
2x = 28-18
2x = 10
x = 5

Therefore the cost per pound for Kona Blend coffee is 5 and Mocha blend coffee is 6

Java Kona Blend 11-25-10 Part1!

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