document.write( "Question 159898: You and your sister decide to combine your weekly overtime earnings to buy a birthday gift for your mother. Your overtime rate is $18 per hour and your sisters overtime rate is $24 per hour. the total amount earned for the gift was $288. If you worked two more hours of overtime than your sister, how many overtime hours did each of you work? \n" ); document.write( "
Algebra.Com's Answer #118184 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! You and your sister decide to combine your weekly overtime earnings to buy a \n" ); document.write( " birthday gift for your mother. Your overtime rate is $18 per hour and your \n" ); document.write( " sisters overtime rate is $24 per hour. the total amount earned for the gift \n" ); document.write( " was $288. If you worked two more hours of overtime than your sister, how many \n" ); document.write( " overtime hours did each of you work? \n" ); document.write( ": \n" ); document.write( "Let x = sister's overtime hrs \n" ); document.write( "then \n" ); document.write( "(x+2) = your overtime hrs \n" ); document.write( ": \n" ); document.write( "Your$ + sister$ = $288 \n" ); document.write( "18(x+2) + 24x = 288 \n" ); document.write( "; \n" ); document.write( "18x + 36 + 24x = 288 \n" ); document.write( ": \n" ); document.write( "18x + 24x = 288 - 36 \n" ); document.write( ": \n" ); document.write( "42x = 252 \n" ); document.write( "x = \n" ); document.write( "x = 6 hrs worked by sister \n" ); document.write( "and \n" ); document.write( "6 + 2 = 8 hrs work by you \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( "6(24) + 8(18) = \n" ); document.write( "144 + 144 = 288 \n" ); document.write( " |