document.write( "Question 1152318: Use two equations in two variables to solve the application.\r
\n" ); document.write( "\n" ); document.write( "Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Find the cost of a pair of socks. \n" ); document.write( "

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\n" ); document.write( "Use two equations in two variables to solve the application.\r
\n" ); document.write( "\n" ); document.write( "Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Find the cost of a pair of socks.
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Let cost of 1 pair of shoes and 1 pair of socks be B and S, respectively
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document.write( "Then we get: 2B + 4S = 111 ------ eq (i)
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document.write( "Also, 3B + 5S = 160 ------ eq (ii)
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document.write( "B + S = 49_____B = 49 - S ----- Subtracting eq (i) from eq (ii) ----- eq (iii)
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document.write( "2(49 - S) + 4S = 111 ------ Substituting 49 - S for B in eq (i)
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document.write( "98 - 2S + 4S = 111
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document.write( "2S = 13
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document.write( "S, or cost of 1 pair of socks =  \n" );
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