document.write( "Question 1024364: How much milk (3% butterfat content) was mixed with cream (27% butterfat) to produce 26 cups of Half-and-Half (11% butterfat content)? Let X be the amount of milk and Y be the amount of cream. \n" ); document.write( "
Algebra.Com's Answer #639821 by josmiceli(19441)\"\" \"About 
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Let \"+x+\" = cups of milk needed
\n" ); document.write( "Let \"+y+\" = cups of cream needed
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) \"+x+%2B+y+=+26+\"
\n" ); document.write( "(2) \"+%28+.03x+%2B+.27y+%29+%2F+26+=+.11+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "(2) \"+.03x+%2B+.27y+=+2.86+\"
\n" ); document.write( "(2) \"+3x+%2B+27y+=+286+\"
\n" ); document.write( "Multiply both sides of (1) by \"+3+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+3x+%2B+27y+=+286+\"
\n" ); document.write( "(1) \"+-3x+-+3y+=+-+78+\"
\n" ); document.write( "----------------------
\n" ); document.write( "\"+24y+=+208+\"
\n" ); document.write( "\"+y+=+8.667+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+x+%2B+y+=+26+\"
\n" ); document.write( "(1) \"+x+=+17.333+\"
\n" ); document.write( "-----------------
\n" ); document.write( "17 and 1/3 cups of milk are needed
\n" ); document.write( "8 and 2/3 cups of cream are needed
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.03x+%2B+.27y+%29+%2F+26+=+.11+\"
\n" ); document.write( "(2) \"+%28+.03%2A17.333+%2B+.27%2A8.667+%29+%2F+26+=+.11+\"
\n" ); document.write( "(2) \"+%28+.52+%2B+2.34+%29+%2F+26+=+.11+\"
\n" ); document.write( "(2) \"+2.86+%2F+26+=+.11+\"
\n" ); document.write( "(2) \"+2.86+=+2.86+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );