document.write( "Question 221213: There are two machines that produce aluminum cans. The newer machine can produce7200 cans in 200 minutes. It takes the older machine 300 minutes to produce that many cans. If the two machines work together, how long will it take them to produce 7200 cans?
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Algebra.Com's Answer #165992 by josmiceli(19441)\"\" \"About 
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Add the rates of producing cans for each machine
\n" ); document.write( "to get the rate for both machines working together
\n" ); document.write( "Let the time for both machines woking together
\n" ); document.write( "to make \"7200\" cans = \"x\" min
\n" ); document.write( "given:
\n" ); document.write( "Rate of newer machine = \"7200%2F200\" cans/min
\n" ); document.write( "Rate of older machine = \"7200%2F300\" cans/min
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\n" ); document.write( "I can write the equation as
\n" ); document.write( "\"7200%2F200+%2B+7200%2F300+=+7200%2Fx\"
\n" ); document.write( "Divide both sides by \"7200\"
\n" ); document.write( "\"1%2F200+%2B+1%2F300+=+1%2Fx\"
\n" ); document.write( "Multiply both sides by \"600x\"
\n" ); document.write( "\"3x+%2B+2x+=+600\"
\n" ); document.write( "\"5x+=+600\"
\n" ); document.write( "\"x+=+120\"
\n" ); document.write( "Working together, it takes them 120 minutes to make 7200 cans\r
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