SOLUTION: Brand X sells 20 oz. bags of mixed nuts that contain 28% peanuts. To make their product they combine Brand A mixed nuts which contain 30% peanuts and Brand B mixed nuts which conta

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Question 1017498: Brand X sells 20 oz. bags of mixed nuts that contain 28% peanuts. To make their product they combine Brand A mixed nuts which contain 30% peanuts and Brand B mixed nuts which contain 25% peanuts. How much of each do they need to use?
Found 2 solutions by FrankM, addingup:
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
(X)30+(100-X)25=100(28)
30X+2500-25X=2800
5X=300
X=60
60% of the 30 and 40% of the 25 will yield 28% combo.
12oz of 30, 8oz of 25

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
x+y = 20 subtract x from both sides:
y = 20-x We will use this value for y next
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
0.30x+0.25y = 0.28(20) Substitute for y:
0.30x+0.25(20-x) = 0.28(20) Multiply on both sides
0.30x+5-0.25x = 5.6 Subtract x on left, subtract 5 on both sides
0.05x = 0.6 Divide both sides by 0.05
x = 12 they need 12oz of 30% peanuts and:
20-12 = 8oz of the 25% mix.