document.write( "Question 1155684: Find how many quarts of 6​% butterfat milk and 3​% butterfat milk should be mixed to yield 45 quarts of 4​% butterfat milk. \n" ); document.write( "
Algebra.Com's Answer #778312 by Theo(13342)\"\" \"About 
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x = number of quarts of 6% butterfat milk.
\n" ); document.write( "y = number of quarts of 3% butterfat milk.
\n" ); document.write( "you have 2 equations that need to be solved simultaneously.
\n" ); document.write( "they are:
\n" ); document.write( "x + y = 45
\n" ); document.write( ".06x + .03y = .04 * 45
\n" ); document.write( "simplify the second equation to get .06x + .03y = 1.8 quarts of butterfat.
\n" ); document.write( "solve for y in the first equation to get y = 45 - x
\n" ); document.write( "replace y in the second equation to get .06 * x + .03 * (45-x) = 1.8
\n" ); document.write( "simplify to get .06x + .03*45 - .03x = 1.8
\n" ); document.write( "simplify further to get .06x + 1.35 - .03x = 1.8
\n" ); document.write( "subtract 1.35 from both sides of the equation to get .06x - .03x = 1.8 - 1.35
\n" ); document.write( "combine like terms to get .03x = .45
\n" ); document.write( "solve for x to get x = 45 / .03 = 15
\n" ); document.write( "since x + y = 45, then y = 30
\n" ); document.write( "you have:
\n" ); document.write( "x = 15 and y = 30
\n" ); document.write( ".06 * x + .03 * y becomes .06 * 15 + .03 * 30 = 1.8 quarts of butterfat
\n" ); document.write( "your solution is that 15 quarts of 6% butterfat and 30 quarts of 3% butterfat must be mixed together to get 45 quarts of 4% butterfat.
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