document.write( "Question 356976: 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 sister's 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 your work? \n" ); document.write( "
Algebra.Com's Answer #254911 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 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 sister's 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 your work? \n" ); document.write( "... \n" ); document.write( "let sister work x overtime hours \n" ); document.write( "I work x+2 overtime hours \n" ); document.write( ".. \n" ); document.write( "sister's rate /h= 24 \n" ); document.write( "my overtime rate = 18 \n" ); document.write( ".. \n" ); document.write( "24x+18(x+2)=288 \n" ); document.write( "24x+18x+36=288 \n" ); document.write( "42x=288-36 \n" ); document.write( "42x=252 \n" ); document.write( "/42 \n" ); document.write( "x= 6 hours overtime by sister \n" ); document.write( "8 hours overtime by me. \n" ); document.write( "... \n" ); document.write( "6*24+18*8=288 \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |