document.write( "Question 385638: This is a percents system of equations word problem. Please help me solve it.\r
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document.write( "A chemistry student needs 40 milliliters (mL) of a 14% acid solution. She had two acid solutions, A and B, to mix together to form the 40 mL acid solution. Acid solution A is 10% and acid solution B is 20% acid. How much of each solution should be used?\r
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document.write( "I have created one equation: x + y = 40\r
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document.write( "The second equation I have written is not finished:
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document.write( ".1x + .2y = ????\r
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document.write( "How do I finish the second equation? And why? \n" );
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Algebra.Com's Answer #272848 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A chemistry student needs 40 milliliters (mL) of a 14% acid solution. \n" ); document.write( " She had two acid solutions, A and B, to mix together to form the 40 mL acid solution. \n" ); document.write( "Acid solution A is 10% and acid solution B is 20% acid. \n" ); document.write( " How much of each solution should be used? \n" ); document.write( "I have created one equation: x + y = 40 \n" ); document.write( "The second equation I have written is not finished: \n" ); document.write( "It should be: \n" ); document.write( ".1x + .2y = .14(40) \n" ); document.write( ".1x + .2y = 5.6 \n" ); document.write( ": \n" ); document.write( "Using the first equation \n" ); document.write( "x + y = 40 \n" ); document.write( "x = (40-y) \n" ); document.write( ": \n" ); document.write( "In the 2nd equation, replace x with (40-y) \n" ); document.write( ".1(40-y) + .2y = 5.6 \n" ); document.write( "4 - .1y + .2y = 5.6 \n" ); document.write( ".1y = 5.6 - 4 \n" ); document.write( ".1y = 1.6 \n" ); document.write( "y = 16 liters of 20% solution \n" ); document.write( ": \n" ); document.write( "I'm sure you can find x. \n" ); document.write( " |