document.write( "Question 854173: four shirts and three ties cost $64. five shirts and eight ties cost $131. what is the price of one shirt and one tie \n" ); document.write( "

Algebra.Com's Answer #514481 by aditya2117(32) $\"\"$ $\"About$

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let the cost of one shirt and tie be x$ and y$.
\n" ); document.write( "Accordingly,
\n" ); document.write( " 4x + 3y = 64 ................................... (1)
\n" ); document.write( " 5x + 8y = 131 ....................................(2)
\n" ); document.write( "from (1),
\n" ); document.write( " x = (64 - 3y)/4
\n" ); document.write( "from (2),
\n" ); document.write( " x = (131-8y)/5
\n" ); document.write( "therefore,
\n" ); document.write( " 64-3y/4 = 131-8y/5
\n" ); document.write( " => 5(64-3y)= 4(131-8y)
\n" ); document.write( " => 320-15y = 524 - 32y
\n" ); document.write( " => 32y-15y = 524 - 320
\n" ); document.write( " => 17y = 204
\n" ); document.write( " => y = 204/17 = 12
\n" ); document.write( "Now,
\n" ); document.write( " 4x + 3y = 64
\n" ); document.write( " => 4x+4y = 64+y
\n" ); document.write( " => 4(x+y)=64+12
\n" ); document.write( " => x+y = 76/4
\n" ); document.write( "therefore, x+y = 19
\n" ); document.write( " Price of one shirt and one tie is : 19$ (Ans.) \n" ); document.write( "

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