document.write( "Question 1004755: I have a quiz tomorrow and this is a problem on my homework, I could really use some help!\r
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document.write( "A chemist has a 60% acid solution and a 20% acid solution. How many millimeters of each should be used to make 140ml of a 35% acid solution? Let x represent the number of ml of the 60% acid solution. \r
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document.write( "Thanks so much!! \n" );
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Algebra.Com's Answer #621127 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A chemist has a 60% acid solution and a 20% acid solution. How many millimeters of each should be used to make 140ml of a 35% acid solution? Let x represent the number of ml of the 60% acid solution. \n" ); document.write( "----- \n" ); document.write( "Using two equations:: \n" ); document.write( "Quantity:: s + t = 140 ml \n" ); document.write( "Acid Eq:::0.60s + 0.20t = 0.35*140 \n" ); document.write( "------------------------------------------- \n" ); document.write( "Modify for elimination: \n" ); document.write( "60s + 60t = 60*140 \n" ); document.write( "60s + 20t = 35*140 \n" ); document.write( "--------------------- \n" ); document.write( "Subtract and solve for \"t\":: \n" ); document.write( "40t = 25*140 \n" ); document.write( "----- \n" ); document.write( "t = 87.5 ml (amt. of 20% solution needed \n" ); document.write( "--- \n" ); document.write( "s = 140-t = 52.5 ml (amt. of 60% solution needed) \n" ); document.write( "---------------------------- \n" ); document.write( "OR \n" ); document.write( "Using one equation: \n" ); document.write( "acid + acid = acid \n" ); document.write( "0.60x + 0.20(140-x) = 0.35*140 \n" ); document.write( "Multiply thru by 100 to get: \n" ); document.write( "60x + 20*140 - 20x = 35*140 \n" ); document.write( "40x = 15*140 \n" ); document.write( "x = 52.5 ml (amt. of 60% solution needed) \n" ); document.write( "140-x = 87.5 ml (amt. of 20% solution needed) \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |