SOLUTION: What volume of each of a 10% acid solution and a 75% acid solution should combined to form 50 mL of a 30% solution? Set up the appropriate equations and solve the system using the

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Question 967726: What volume of each of a 10% acid solution and a 75% acid solution should combined to form 50 mL of a 30% solution? Set up the appropriate equations and solve the system using the inverse of the coefficient matrix.
Answer by stanbon(75887) About Me  (Show Source):
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What volume of each of a 10% acid solution and a 75% acid solution should combined to form 50 mL of a 30% solution? Set up the appropriate equations and solve the system using the inverse of the coefficient matrix.
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Equation:
acid + acid = acid
0.10x + 0.75(50-x) = 0.30*50
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10x + 75*50 - 75x = 30*50
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-65x = -45*50
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x = (9/13)50
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x = 34.62 ml (amt. of 10% solution needed)
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50-x = 15.38 ml (amt. of 75% solution needed)
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Cheers,
Stan H.
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