SOLUTION: We have to make 50 ounces of a 60% acid solution. I have a 30% acid solution and an 80% acid solution to work with. How many ounces of the 30% acid solution and the 80% acid soluti

Question 1026870: We have to make 50 ounces of a 60% acid solution. I have a 30% acid solution and an 80% acid solution to work with. How many ounces of the 30% acid solution and the 80% acid solution do I need?
Found 2 solutions by robertb, stanbon:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
0.30x + 0.80(50-x) = 0.60*50
<==> 0.30x + 40 - 0.80x = 30
==> -0.50x = -10
==> x = 20 ounces of the 30% acid solution , and 30 ounces of the 80% acid solution.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
We have to make 50 ounces of a 60% acid solution. I have a 30% acid solution and an 80% acid solution to work with. How many ounces of the 30% acid solution and the 80% acid solution do I need?
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Equations:
t + e = 50 ounces
30t + 80e = 60*50
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Modify for elimination:
30t + 30e = 30*50
30t + 80e = 60*50
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Subtract and sove for "e"::
50e = 30*50
e = 30 ounces (amt. of 80% needed)
t = 50-30 = 20 ounces (amt. of 30% needed)
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Cheers,
Stan H.
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