document.write( "Question 433560: You are making 10 tons of concrete that is
\n" ); document.write( "62% cement by mixing a 20% cement mixture
\n" ); document.write( "with a 80% cement mixture.\r
\n" ); document.write( "\n" ); document.write( "a) How much of the 80% cement mixture
\n" ); document.write( "must you use?
\n" ); document.write( "Answer in units of tons.\r
\n" ); document.write( "\n" ); document.write( "Help me!
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Algebra.Com's Answer #300548 by josmiceli(19441)\"\" \"About 
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Let \"a\" = tons of 20% mixture to be used
\n" ); document.write( "Let \"b\" = tons of 80% mixture to be used
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a+%2B+b+=+10+\" tons
\n" ); document.write( "Tons of concrete in 20% mixture = \".2a\"
\n" ); document.write( "Tons of concrete in 80% mixture = \".8b\"
\n" ); document.write( "(2) \"+%28.2a+%2B+.8b%29+%2F+10+=+.62+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) \"+.2a+%2B+.8b+=+6.2+\"
\n" ); document.write( "(2) \"+2a+%2B+8b+=+62+\"
\n" ); document.write( "Multiply both sides of (1) by \"2\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+2a+%2B+8b+=+62+\"
\n" ); document.write( "(1) \"+-2a+-+2b+=+20+\"
\n" ); document.write( "\"+6b+=+42+\"
\n" ); document.write( "\"+b+=+7+\"
\n" ); document.write( "and, since
\n" ); document.write( "\"+a%2B+b+=+10+\"
\n" ); document.write( "\"+a+=+3+\"
\n" ); document.write( "3 tons of 20% mixture are to be used
\n" ); document.write( "7 tons of 80% mixture are to be used
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28.2a+%2B+.8b%29+%2F+10+=+.62+\"
\n" ); document.write( "(2) \"+%28.2%2A3+%2B+.8%2A7%29+%2F+10+=+.62+\"
\n" ); document.write( "(2) \"+%28.6+%2B+5.6%29+%2F+10+=+.62+\"
\n" ); document.write( "\"+6.2%2F10+=+.62+\"
\n" ); document.write( "\"+6.2+=+6.2+\"
\n" ); document.write( "OK
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\n" );