document.write( "Question 1025706: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is 70% salt. She wants to obtain 70 ounces of a mixture that is 55% salt. How many ounces of each solution should she use?\r
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document.write( "solution A = x ounces
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document.write( "Solution B = x ounces\r
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document.write( "thank you to whoever answers :) \n" );
document.write( "
Algebra.Com's Answer #854447 by ikleyn(53846) You can put this solution on YOUR website! . \n" ); document.write( "A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. \n" ); document.write( "She knows that Solution A is 45% salt and Solution B is 70% salt. She wants to obtain 70 ounces of a mixture \n" ); document.write( "that is 55% salt. How many ounces of each solution should she use? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Calculations in the post by @lwsshak3 are incorrect, giving wrong answer.\r \n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution A = x ounces \n" ); document.write( "Solution B = (70-x) ounces \n" ); document.write( "let x = Amt of solution A used \n" ); document.write( "70-x = Amt of solution B used \n" ); document.write( "0.45x + 0.7*(70-x) = 0.55*70 \n" ); document.write( "0.45x + 49 - 0.7x = 38.5 \n" ); document.write( "0.25x = 10.5 \n" ); document.write( "x = 10.5/0.25 = 42. \n" ); document.write( "70-x = 28 \n" ); document.write( "Amt of solution A used = 42 ounces \n" ); document.write( "Amt of solution B used = 28 ounces\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "CHECK for the final concentration \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved correctly.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |