document.write( "Question 1059112: ) A baker can decorate the day’s cookie
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document.write( "supply four times as fast as her new assistant. If
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document.write( "they decorate all the cookies working together in
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document.write( "20 minutes, how long would it take for each of
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document.write( "them to decorate the cookies working
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document.write( "individually?
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Algebra.Com's Answer #674199 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Baker takes x minutes, and in 1 minute does 1/x of the cookies \n" ); document.write( "The assistant takes 4x minutes and in 1 minute does 1/4x of the cookies. \n" ); document.write( "Together, they do it in 20 minutes. \n" ); document.write( "So, 20/x+20/4x=1 \n" ); document.write( "multiply everything by 4x \n" ); document.write( "80+20=4x \n" ); document.write( "4x=100 \n" ); document.write( "x=25 minutes ANSWER \n" ); document.write( "It takes the baker 25 minutes and her assistant 100 minutes. \n" ); document.write( "1/25+1/100=4/100+1/100=5/100=1/20; 20 minutes check. \n" ); document.write( " \n" ); document.write( " |