document.write( "Question 829840: How to calculate a 3% solution (of 1000mls) from a 93% stock (of 100mls).\r
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document.write( "I have tried the method...
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document.write( "but am a little confused and not really sure if it the formula that I ought to be using.\r
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document.write( "C1 = 93% [x100] = 0.93
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document.write( "V1 = 100mls\r
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document.write( "C2 = ? [I don't know what goes here]
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document.write( "V2 = 1000mls\r
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document.write( "V1 = (V2 x C2) / C1 = ? 100ml = (1000mls x C2) / 100mls = ?\r
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document.write( "I get stuck at C2! What is this meant to be? Where do I get the number from?\r
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document.write( "Is this even the right formula for me?!\r
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document.write( "I have a stock that is a 93% solution, but I have 1000mls of water that I need to be at 3%.\r
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document.write( "Hope you can help or confuse me!
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document.write( "Thank you
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document.write( ":)
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document.write( "Mariana\r
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Algebra.Com's Answer #500160 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "I'm assuming that the solvent is pure water, so the answer is clear. \n" ); document.write( "The answer is the same regardless of the solvent. \n" ); document.write( "--- \n" ); document.write( "x = volume of pure water \n" ); document.write( "y = volume of 93% stock solution \n" ); document.write( "--- \n" ); document.write( "0x + 93y = 3(x + y) \n" ); document.write( "x + y = 1000 \n" ); document.write( "--- \n" ); document.write( "put the system of linear equations into standard form: \n" ); document.write( "--- \n" ); document.write( "93y = 3x + 3y \n" ); document.write( "x + y = 1000 \n" ); document.write( "--- \n" ); document.write( "3x - 90y = 0 \n" ); document.write( "x + y = 1000 \n" ); document.write( "--- \n" ); document.write( "copy and paste the above linear system in standard form into this matrix-method solver: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "x = volume of pure water = 967.742 ml \n" ); document.write( "y = volume of 93% stock solution = 32.258 ml \n" ); document.write( "--- \n" ); document.write( "check total volume = 967.742 + 32.258 = 1000.000 ml \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " \n" ); document.write( " |