document.write( "Question 156808: As an employee at the local market,Charlotte's duties include stocking shelves, cashier, and training new employees. Yesterday during an 8 hour workday, charlotte trained new employees half as long as she was a cashier and stocked shelves three quarters of an hour less than she was cashier. How many hours did Charlotte spend on eash duty? \n" ); document.write( "
Algebra.Com's Answer #115674 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Yesterday during an 8 hour workday, Charlotte trained new employees half as long as she was a cashier and stocked shelves three quarters of an hour less than she was cashier. How many hours did Charlotte spend on each duty? \n" ); document.write( ": \n" ); document.write( "Let t = time as a cashier: \n" ); document.write( ": \n" ); document.write( "\"trained new employees half as long as she was a cashier\" \n" ); document.write( ".5t = time training \n" ); document.write( ": \n" ); document.write( "\"stocked shelves three quarters of an hour less than she was cashier.\" \n" ); document.write( "(t-.75) = time stocking selves \n" ); document.write( "; \n" ); document.write( " How many hours did Charlotte spend on each duty? \n" ); document.write( ": \n" ); document.write( "cashier + training + stocking = 8 hrs \n" ); document.write( "t + .5t + (t-.75) = 8 \n" ); document.write( ": \n" ); document.write( "2.5t = 8 + .75 \n" ); document.write( "t = \n" ); document.write( "t = 3.5 hrs cashiering \n" ); document.write( ": \n" ); document.write( ".5(3.5) = 1.75 hrs training \n" ); document.write( ": \n" ); document.write( "3.5 - .75 = 2.75 hrs stocking \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: 3.5 + 1.75 + 2.75 = 8; confirms our solution x=3.5\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |