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)\"\" \"About 
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cost of one tablecloth = T
\n" ); document.write( "cost of one napkin = N\r
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\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
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\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
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