document.write( "Question 534553: I am having trouble with this lesson, I've tried this problem and cannot figure it out. If you could please help me understand the process that would be wonderful.\r
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document.write( "A dairy needs 255 gallons of milk containing 5% butterfat.
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document.write( "How many gallons each of milk containing 6% butterfat and milk containing 1% butterfat must be used to obtain the desired 255 gallons?\r
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document.write( "I have a box for each % of butterfat used(____of 5% ____of 1%)\r
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Algebra.Com's Answer #351583 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "One kind of Milk \n" ); document.write( "================= \n" ); document.write( "Amount = x gallons \n" ); document.write( "Butterfat = 6% = 6/100 = 0.06\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "other kind of Milk \n" ); document.write( "================== \n" ); document.write( "Amount = 255-x gallons \n" ); document.write( "Butterfat=1%=1/100=0.01\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Mixture Milk \n" ); document.write( "=========== \n" ); document.write( "Amount = 255 gallons \n" ); document.write( "Butterfat = 5% = 5/100 = 0.05\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(Amount of on kind of milk)*(Buttefat)+ (Amount of other kind of milk)*(Buttefat)=(Amount of Mixture milk)*(Buttefat) \n" ); document.write( "(x)(0.06)+(255-x)(0.01)=255*0.05 \n" ); document.write( "0.06x+2.55-0.01x=12.75 \n" ); document.write( "0.06x-0.01x=12.75-2.55 \n" ); document.write( "0.05x=10.2 \n" ); document.write( "0.05x/0.05=10.2/0.05 \n" ); document.write( "x=204\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "One kind of Milk \n" ); document.write( "================= \n" ); document.write( "Amount = x = 204 gallons \n" ); document.write( "Butterfat = 6% = 6/100 = 0.06\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "other kind of Milk \n" ); document.write( "================== \n" ); document.write( "Amount = 255-204 = 51 gallons \n" ); document.write( "Butterfat=1%=1/100=0.01\r \n" ); document.write( "\n" ); document.write( "Conclusion \n" ); document.write( "========== \n" ); document.write( "204 gallons of Milk containing 6% butterfat and 51 gallons of milk containing 1% butterfat must be used to obtain the desired 255 gallons containing 5% butterfat.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |