document.write( "Question 204160: how to solve this question using algebraic formula: There are 26 heads and 74 legs, how many chicken and sheep in the farm? \n" ); document.write( "

Algebra.Com's Answer #154482 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Let the amount of chickens be c, and the amount of sheep be s
\n" ); document.write( "Since there are 26 heads, then we’ll have: c + s = 26\r
\n" ); document.write( "\n" ); document.write( "Since there are 74 legs and since chickens have 2 legs, while sheep have 4, we’ll then have: 2c + 4s = 74\r
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\n" ); document.write( "\n" ); document.write( "We now have he following 2 simultaneous equations:\r
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\n" ); document.write( "\n" ); document.write( "c + s = 26 (multiply by – 2) -----> - 2c - 2s = - 52
\n" ); document.write( "2c + 4s = 74 (multiply by 1) -----> 2c + 4s = 74
\n" ); document.write( "Add eq (i) & eq (ii) -----------------> 2s = 22
\n" ); document.write( " s = 11\r
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\n" ); document.write( "\n" ); document.write( "Substituting 11 for s in eq (i), we get: c + 11 = 26
\n" ); document.write( " c = 15\r
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\n" ); document.write( "\n" ); document.write( "Therefore, there are $\"highlight_green%2815%29\"$ chickens, and $\"highlight_green%2811%29\"$ sheep on the farm.\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "15 chickens + 11 sheep = 26 heads\r
\n" ); document.write( "\n" ); document.write( "(15 chickens * 2 legs) + (11 sheep * 4 legs) = 30 + 44 = 74 legs\r
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