document.write( "Question 459726: A reservation clerk worked 12.6 hrs one day. She spent twice as much time entering new reservations as she did verifying old ones and one and a half as much time calling to confirm reservations as verifying old ones. How much time did she spend entering new reservations?\r
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document.write( "Chris \n" );
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Algebra.Com's Answer #315262 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! A reservation clerk worked 12.6 hrs one day. She spent twice as much time entering new reservations as she did verifying old ones and one and a half as much time calling to confirm reservations as verifying old ones. How much time did she spend entering new reservations? \n" ); document.write( "====================================================== \n" ); document.write( "Let n = the time spent on new reservations \n" ); document.write( "Then the time spent on old reservations is n/2 \n" ); document.write( "The time spent confirming reservations is 3/2 the time spent on old reservations \n" ); document.write( "But the time spent on old reservations is n/2 \n" ); document.write( "Therefore, we can express the time spent confirming reservations as (3/2)(n/2)=3n/4 \n" ); document.write( "So the total time spent, expressed in terms of n, is: \n" ); document.write( "n + n/2 + 3n/4 = 12.6 \n" ); document.write( "Solve for n: \n" ); document.write( "(4n + 2n + 3n)/4 = 12.6 \n" ); document.write( "9n = 50.4 \n" ); document.write( "n = 5.6 \n" ); document.write( "So the time spent on new reservations is 5.6 hrs \n" ); document.write( " |