document.write( "Question 148916: Janet and Carl decorate cakes in a bakery. Janet can decorate a cake every 0.24 hour and Carl can decorate a cake every 0.33 hour. If they work together, at what rate are they decorating cakes? Round to the nearest tenth of a cake per hour. \n" ); document.write( "
Algebra.Com's Answer #109233 by ankor@dixie-net.com(22740)\"\" \"About 
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Janet can decorate a cake every 0.24 hour and Carl can decorate a cake every
\n" ); document.write( "0.33 hour. If they work together, at what rate are they decorating cakes?
\n" ); document.write( " Round to the nearest tenth of a cake per hour.
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\n" ); document.write( "Let t = time required when they work together
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\n" ); document.write( "Let the completed cake = 1; (the fraction each does, has to add up to 1)
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\n" ); document.write( "\"t%2F.24\" + \"t%2F.33\" = 1
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\n" ); document.write( "Multiply the equation by a common denominator; .0792 (.24 * .33); results:
\n" ); document.write( ".33t + .24t = .0792
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\n" ); document.write( ".57t = .0792
\n" ); document.write( "t = \".0792%2F.57\"
\n" ); document.write( "t = .1389 hr for both to decorate 1 cake
\n" ); document.write( "Therefore:
\n" ); document.write( "\"1%2F.1389\" = 7.2 cakes can be decorated in 1 hr
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