document.write( "Question 1186486: Hi
\n" ); document.write( "Mrs Lee bought 20 ducks and chickens for 126 dollars. Each chicken cost 2 dollars less than each duck. If she bought 6 more chickens than ducks how much did she pay for each chicken.
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Algebra.Com's Answer #817436 by MathTherapy(10552)\"\" \"About 
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Hi
\n" ); document.write( "Mrs Lee bought 20 ducks and chickens for 126 dollars. Each chicken cost 2 dollars less than each duck. If she bought 6 more chickens than ducks how much did she pay for each chicken.
\n" ); document.write( "Thanks
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Let number of chickens purchased, be C\r\n" );
document.write( "Then number of ducks purchased = 20 - C\r\n" );
document.write( "It was given that 6 more chickens than ducks were purchased\r\n" );
document.write( "Therefore, the number of ducks purchased = C - 6 \r\n" );
document.write( "We then get: 20 - C = C - 6\r\n" );
document.write( "- C - C = - 6 - 20\r\n" );
document.write( "- 2C =  - 26\r\n" );
document.write( "Number of chickens purchased, or, \"matrix%281%2C5%2C+C%2C+%22=%22%2C+%28-+26%29%2F%28-+2%29%2C+%22=%22%2C+13%29\"\r\n" );
document.write( "Then number of ducks purchased = 20 - 13 = 7\r\n" );
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document.write( "Let cost of each chicken, be P\r\n" );
document.write( "Then cost of each duck = P + 2\r\n" );
document.write( "As $126 was spent, we get: 13P + 7(P + 2) = 126\r\n" );
document.write( "13P + 7P + 14 = 126\r\n" );
document.write( "20P = 112\r\n" );
document.write( "Cost of a chicken, or,
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