document.write( "Question 49546: Dearest tutors, can you help me regarding my problem? thank you for that..\r
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document.write( "1. A chemist wanted to mix milk testing 3% butterfat with cream and testing 28% butterfat. How many quartz of each kind must the chemist use to produce a mixture of 10 gallons which shall test 18% butterfat? \n" );
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Algebra.Com's Answer #42688 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x= Number of qts of milk (3% butterfat) \n" ); document.write( "Then 40-x=Number of qts of cream (28% butterfat) \n" ); document.write( "(Note: We need to deal either in qts or gallons. I have chosen to deal in qts and 10 gal=40 qts)\r \n" ); document.write( "\n" ); document.write( "Now we know that the amount of pure butterfat in the milk (x)(.03) plus the amount of pure butterfat in the cream (40-x)(.28) must equal the amount of pure butterfat in the final mixture (40)(.18). Thus, our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "(x)(.03)+(40-x)(.28)=(40)(.18) simplifying, we get: \n" ); document.write( ".03x+11.2-.28x=7.2 or \n" ); document.write( "-.25x=-4 \n" ); document.write( "x=16 qts of milk \n" ); document.write( "40-x=40-16=24 qts of cream\r \n" ); document.write( "\n" ); document.write( "Hope this helps ------ptaylor \n" ); document.write( " |