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)\"\" \"About 
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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 $288. If you worked two more hours of overtime than your sister, how many
\n" ); document.write( " overtime hours did each of you work?
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\n" ); document.write( "Let x = sister's overtime hrs
\n" ); document.write( "then
\n" ); document.write( "(x+2) = your overtime hrs
\n" ); document.write( ":
\n" ); document.write( "Your$ + sister$ = $288
\n" ); document.write( "18(x+2) + 24x = 288
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\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 = \"252%2F42\"
\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( ":
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\n" ); document.write( "Check solution
\n" ); document.write( "6(24) + 8(18) =
\n" ); document.write( "144 + 144 = 288
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