document.write( "Question 871111: Joe is paid $9.50 per hour. His first 36 hours are paid at normal rates. If he works
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document.write( "overtime during the week or works on Saturday, he is paid time-and-a-half. If he
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document.write( "works on Sunday he gets double time. In a week in which he is paid $570, calculate
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document.write( "how many hours of time-and-a-half and double time he possibly could have worked \n" );
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Algebra.Com's Answer #525321 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Joe is paid $9.50 per hour. His first 36 hours are paid at normal rates. If he works \n" ); document.write( "overtime during the week or works on Saturday, he is paid time-and-a-half. If he \n" ); document.write( "works on Sunday he gets double time. In a week in which he is paid $570, calculate how many hours of time-and-a-half and double time he possibly could have worked\r \n" ); document.write( "\n" ); document.write( "9.50*36 +1.5*9.50x +2*9.5y=570\r \n" ); document.write( "\n" ); document.write( "342+14.25x+18y=570\r \n" ); document.write( "\n" ); document.write( "57/4 x +18y=228 \n" ); document.write( "multiply by 4 \n" ); document.write( "57x+72y=912 \n" ); document.write( "57x=912-72y\r \n" ); document.write( "\n" ); document.write( "x= 16-72/57 *y\r \n" ); document.write( "\n" ); document.write( "x has to be a whole number . Assuming he does not work for half hours\r \n" ); document.write( "\n" ); document.write( "so 72/57 * y has also to be a whole number \n" ); document.write( "this possible only when y =0 \n" ); document.write( "so x = 16 & y =0\r \n" ); document.write( "\n" ); document.write( "one half times ------- hours 16 \n" ); document.write( "and two times ----------0 hours\r \n" ); document.write( "\n" ); document.write( "lets check the possibility\r \n" ); document.write( "\n" ); document.write( "9.50*36 +1.5*9.50x +2*9.5y\r \n" ); document.write( "\n" ); document.write( "342 + 14.25 *16 +0 \n" ); document.write( "342+228 \n" ); document.write( "570\r \n" ); document.write( "\n" ); document.write( "570=570 \n" ); document.write( " |