document.write( "Question 268978: Ozzy goes to bed at 8 pm while Kristen & Sean go to bed at 11 pm. If Ozzy sleeps twice as long as Kristen and Sean sleeps 6 hours more than Kristen and Sean and Ozzy sleep the same number of hours - what time does Kristen get up? \n" ); document.write( "
Algebra.Com's Answer #197119 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! Ozzy sleeps twice as long as kristen gets us \n" ); document.write( "(i) Oz = 2Kr \n" ); document.write( "sean sleeps 6 more hours than Kristen gets us \n" ); document.write( "(ii) Se = Kr + 6 \n" ); document.write( "Sean and Ozzy sleep the same number of hours gets us \n" ); document.write( "(iii) Se = Oz \n" ); document.write( "substitute (iii) into (ii) to get \n" ); document.write( "(iv) Oz = Kr + 6 \n" ); document.write( "substitute (i) into (iv) to get \n" ); document.write( " (v) 2Kr = Kr + 6 \n" ); document.write( "solving, we get \n" ); document.write( "Kr = 6 hours \n" ); document.write( "Now, \n" ); document.write( "Oz = 12 hours and Se = 12 hours. \n" ); document.write( "Since Kristen goes to be at 11, she must get up 6 hours later or at 5 AM \n" ); document.write( " |