document.write( "Question 766533: James needs to mix a 10% alcohol solution with a 60% alcohol solution to create 100 millileters of a 20% solution. How many millileters of each solution must James use?\r
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document.write( "A) Write an equation using the information as it is given above that can be used to solve this problem. Use as your variable to represent the quantity of 10% alcohol solution.\r
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document.write( "Equation: \r
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document.write( "B) Answer: James must mix HOW MANY millileters of 10% solution and HOW MANY millileters of 60% solution? \n" );
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Algebra.Com's Answer #466974 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you have 2 equations: \n" ); document.write( "x + y = 100 \n" ); document.write( ".1x + .6y = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x is the number of milliliters of 10% solution. \n" ); document.write( "y is the number of milliliters of 60% solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100 milliliters of 20% solution yields 20 milliliters of alcohol.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve these 2 equations simultaneously to get your answer. \n" ); document.write( "use the elimination method as shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + y = 100 (equation 1) \n" ); document.write( ".1x + .6y = 20 (equation 2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply equation 2 by 10 to get equation 3 as shown below: \n" ); document.write( "x + 6y = 200 (equation 3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract equation 1 from equation 3 as shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 6y = 200 (e3) \n" ); document.write( "x + y = 100 (e4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "result of the subtraction is: \n" ); document.write( "5y = 100 (equation 5) \n" ); document.write( "divide both sides of this equation by 5 to get: \n" ); document.write( "y = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute for y in equation 1 to get: \n" ); document.write( "x + y = 100 becomes: \n" ); document.write( "x + 20 = 100 \n" ); document.write( "solve for x to get: \n" ); document.write( "x = 80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is : \n" ); document.write( "x = 80 \n" ); document.write( "y = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you need 80 milliliters of 10% solution and 20 liters of 60% solution to get 100 milliliters of 20% solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + y = 80 + 20 = 100 ml of solution \n" ); document.write( ".1x + .6y = .1(80) + .6(20) = 8 + 12 = 20 ml of alcohol\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |