document.write( "Question 607286: a restaurant purchased 8 tablecloth and five napkins foe $106. A week later, a tablecloth and six napkins were bought for $24. Find the cost of one tablecloth and he cost of one napkin, assuming the same prices for both purchases. \n" ); document.write( "
Algebra.Com's Answer #382589 by alicealc(293)![]() ![]() ![]() You can put this solution on YOUR website! cost of one tablecloth = T \n" ); document.write( "cost of one napkin = N\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8T + 5N = 106 \n" ); document.write( "1T + 6N = 24 \n" ); document.write( "Use the elimination procedure: \n" ); document.write( "(multiply the second equation by 8) \n" ); document.write( "8T + 48N = 192 \n" ); document.write( "Eliminate T: \n" ); document.write( "8T + 48N = 192 \n" ); document.write( "8T + 5N = 106 \n" ); document.write( "-------------- (-) \n" ); document.write( "43N = 86 \n" ); document.write( "N = 86/43 = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1T + 6N = 24 \n" ); document.write( "T + 6*2 = 24 \n" ); document.write( "T + 12 = 24 \n" ); document.write( "T = 24 - 12 = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, the cost of one tablecloth is $12 and the cost of one napkin is $2 \n" ); document.write( " |