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 #382590 by nerdybill(7384)\"\" \"About 
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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.
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\n" ); document.write( "Let t = cost of one tablecloth
\n" ); document.write( "and n = cost of one napkin
\n" ); document.write( "then
\n" ); document.write( "8t + 5n = 106
\n" ); document.write( " t + 6n = 24
\n" ); document.write( ".
\n" ); document.write( "multiply bottom equation by -8 and combine both equations:
\n" ); document.write( " 8t + 5n = 106
\n" ); document.write( "-8t - 48n =-192
\n" ); document.write( "-----------------
\n" ); document.write( " - 43n = -86
\n" ); document.write( " n = $2 (cost of a napkin)
\n" ); document.write( ".
\n" ); document.write( "Cost of tablecloth:
\n" ); document.write( " t + 6n = 24
\n" ); document.write( " t + 6(2) = 24
\n" ); document.write( " t + 12 = 24
\n" ); document.write( " t = $12
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