document.write( "Question 287930: You have 2 drums of milk, one contains 16% butterfat, the other contains 48% butterfat. You need 40 gallons of milk at 30% butterfat. How many gallons of each do you have to mix?
\n" );
document.write( "Thank you for your time.
\n" );
document.write( "Regards,
\n" );
document.write( "Beth \n" );
document.write( "
Algebra.Com's Answer #208649 by Grinnell(63)![]() ![]() ![]() You can put this solution on YOUR website! Let x be number of gallons at 16% \n" ); document.write( "let 40-x be number of gallons at 48% \n" ); document.write( "You want to end up with 40 gallons at 30%\r \n" ); document.write( "\n" ); document.write( "Sooo, off to the races! \n" ); document.write( "x(.16) + (40-x)(.48)=40(.30) \n" ); document.write( "(let's multiply by 100 to remove the decimal) \n" ); document.write( "16x+48(40-x)=(40)30 \n" ); document.write( "16x+1920-48x=1200 (do the math) \n" ); document.write( "16x+1920-48x=1200 \n" ); document.write( "-32x=-720 \n" ); document.write( "x=-720/-32 \n" ); document.write( "x=22.5 (I said 720/32=27.5---I caught my simple dividing mistake because I always double \n" ); document.write( " check.) \n" ); document.write( "Sooo 22.5 gallons of 16% butterfat and \n" ); document.write( " 17.5 gallons of 48% butterfat must be mixed to yield 40 gallons of 30% butterfat! I have to run. Always check your work. Plug in the numbers and see if they work!!!! Later...(I divided wrong at first--I said 4-4=1 (DUuu)---This threw the whole answer off! I caught my mistake because I re-checked AND double checked. Be careful in the simple arithmetic. WE ALL MAKE MISTAKES!!!!!!! \n" ); document.write( " \n" ); document.write( " |