document.write( "Question 696115: A 5% salt solution is mixed with a 10% salt solution. How many milliliters of each solution are needed to obtain 400 milliliters of an 8% solution. \r
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document.write( "s= number of milliliters of 5% salt solution
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document.write( "t= number of milliliters of 10% s alt solution
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document.write( "I wrote an equation of
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document.write( "(s+t=400
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document.write( "(.05s+.1t=40
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document.write( "i tried solving but got stuck. am i on the right track? \n" );
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Algebra.Com's Answer #428807 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A 5% salt solution is mixed with a 10% salt solution. How many milliliters of each solution are needed to obtain 400 milliliters of an 8% solution. \r \n" ); document.write( "\n" ); document.write( "s= number of milliliters of 5% salt solution \n" ); document.write( "t= number of milliliters of 10% s alt solution \n" ); document.write( "I wrote an equation of \n" ); document.write( "(s+t=400 \n" ); document.write( "(.05s+.1t=40 \n" ); document.write( "i tried solving but got stuck. am i on the right track?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let amount of 5% salt solution to be mixed be F \n" ); document.write( "Then amount of 10% salt solution to be mixed = 400 – F \n" ); document.write( "Therefore, .05F + .1(400 – F) = .08(F + 400 – F) \n" ); document.write( ".05F + 40 - .1F = 32 \n" ); document.write( ".05F - .1F = 32 – 40 \n" ); document.write( "- .05F = - 8 \n" ); document.write( "F, or amount of 5% salt solution to be mixed = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Amount of 10% salt solution to be mixed = 400 – 160, or \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "OR\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Doing it your way: \n" ); document.write( "s + t = 400 \n" ); document.write( ".05s + .1t = .08(400) ---- .05s + .1t = 32\r \n" ); document.write( "\n" ); document.write( "You can now solve for s and then t, or vice-versa\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you notice, you'll see that you're on the right track, with the exception that the 2nd equation should be .05s + .1t = 32, instead of .05s + .1t = 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can do the check!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |