document.write( "Question 304983: One type of candy cost 60cents a pound while a second costs 80cents a pound. How many pounds of each type must be combined in order to produce 20 pounds of a mixture worth 75cents a pound?\r
\n" ); document.write( "\n" ); document.write( "Sat prep. Question.
\n" ); document.write( "Ans. 24 nickels
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Algebra.Com's Answer #218448 by josmiceli(19441)\"\" \"About 
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Let \"a\" = pounds of $.60 candy needed
\n" ); document.write( "Let \"b\" = pounds of $.80 cent candy needed
\n" ); document.write( "given:
\n" ); document.write( "(1) \"a+%2B+b+=+20\"
\n" ); document.write( "In words:
\n" ); document.write( "(cost of each type of candy used)/(pounds of candy used) = (cost of mixture)/(pounds of mixture)
\n" ); document.write( "\"%28.6a+%2B+.8b%29%2F20+=+.75\"
\n" ); document.write( "\".6a+%2B+.8b+=+15\"
\n" ); document.write( "(2) \"6a+%2B+8b+=+150\"
\n" ); document.write( "Multiply both sides of (1) by \"6\" and subtract from (2)
\n" ); document.write( "(2) \"6a+%2B+8b+=+150\"
\n" ); document.write( "(1) \"-6a+-+6b+=+120\"
\n" ); document.write( "\"2b+=+30\"
\n" ); document.write( "\"b+=+15\"
\n" ); document.write( "and, since
\n" ); document.write( "\"a+%2B+b+=+20\"
\n" ); document.write( "\"a+=+20+-+15\"
\n" ); document.write( "\"a+=+5\"
\n" ); document.write( "5 pounds of $.60 candy and 15 pounds of $.80 candy are needed
\n" ); document.write( "check:
\n" ); document.write( "\"%28.6%2A5+%2B+.8%2A15%29%2F20+=+.75\"
\n" ); document.write( "\"%283+%2B+12%29%2F20+=+.75\"
\n" ); document.write( "\"15%2F20+=+.75\"
\n" ); document.write( "\"15+=+15\"
\n" ); document.write( "OK
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