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)![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( ": \n" ); document.write( "Let t = time required when they work together \n" ); document.write( ": \n" ); document.write( "Let the completed cake = 1; (the fraction each does, has to add up to 1) \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Multiply the equation by a common denominator; .0792 (.24 * .33); results: \n" ); document.write( ".33t + .24t = .0792 \n" ); document.write( ": \n" ); document.write( ".57t = .0792 \n" ); document.write( "t = \n" ); document.write( "t = .1389 hr for both to decorate 1 cake \n" ); document.write( "Therefore: \n" ); document.write( " \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |