document.write( "Question 493651: How many gallons of cream that is 20% butterfat must be mixed with milk that is 2% butterfat to get 18 gallons of milk containing 4% butterfat?\r
\n" ); document.write( "\n" ); document.write( "I am having trouble setting up the equation. We were thinking it went something like this...\r
\n" ); document.write( "\n" ); document.write( ".02x + .2x = .04(18)
\n" ); document.write( "

Algebra.Com's Answer #335410 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
How many gallons of cream that is 20% butterfat must be mixed with milk that is 2% butterfat to get 18 gallons of milk containing 4% butterfat?
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "fat + fat = fat
\n" ); document.write( "0.02x + 0.20(18-x) = 0.04*18
\n" ); document.write( "--------------
\n" ); document.write( "Multiply thru by 100
\n" ); document.write( "2x + 20*18 - 20x = 4*18
\n" ); document.write( "-18x = -16*18
\n" ); document.write( "x = 16 gallons
\n" ); document.write( "18-x = 2 gallons (amt of cream needed)
\n" ); document.write( "========================================
\n" ); document.write( "If that method is too confusing try 2 equations with 2 variables:
\n" ); document.write( "c is cream
\n" ); document.write( "m is milk
\n" ); document.write( "----
\n" ); document.write( "m + c = 18
\n" ); document.write( "0.02m + 0.20c = 0.04*18
\n" ); document.write( "-----
\n" ); document.write( "Multiply thru 1st by 2
\n" ); document.write( "Multiply thru other by 100
\n" ); document.write( "---
\n" ); document.write( "2m + 2c = 2*18
\n" ); document.write( "2m + 20c= 4*18
\n" ); document.write( "----
\n" ); document.write( "Subtract:
\n" ); document.write( "18c = 2*18
\n" ); document.write( "c = 2 gallons (amt. of cream needed)
\n" ); document.write( "====
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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