document.write( "Question 162620: In a local pet store , the cats sell for $10 each and the canaries sell for $15 each. the total value was $360. one night the shop owner forgot to close the cages. 2 cats and half of the canaries are gone. if the total value is now $220, how many of each were present before escape?\r
\n" ); document.write( "\n" ); document.write( "I was asked to find the solution by writing and solving a system of 2 linear equations.\r
\n" ); document.write( "\n" ); document.write( "so far i have that: k= number of cats and c= number of canaries\r
\n" ); document.write( "\n" ); document.write( "And what i think the equations might be: \"+10k%2B15c=360+\"
\n" ); document.write( " and \"+20%2B1%2F2c=220+\"\r
\n" ); document.write( "\n" ); document.write( "Am i correct and if not how can i modify my equations to solve the equation easier? thanks.\r
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Algebra.Com's Answer #119828 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
In a local pet store , the cats sell for $10 each and the canaries sell for $15 each. the total value was $360. one night the shop owner forgot to close the cages. 2 cats and half of the canaries are gone. if the total value is now $220, how many of each were present before escape?\r
\n" ); document.write( "\n" ); document.write( "I was asked to find the solution by writing and solving a system of 2 linear equations.\r
\n" ); document.write( "\n" ); document.write( "so far i have that: k= number of cats and c= number of canaries\r
\n" ); document.write( "\n" ); document.write( "And what i think the equations might be: \"+10k%2B15c=360+\"
\n" ); document.write( " and \"+20%2B1%2F2c=220+\"
\n" ); document.write( "------------------------------------------------------------------
\n" ); document.write( "1st Value Equation: 10k + 15c = 360
\n" ); document.write( "2nd Value Equation: 10(k-2) + 15(c/2) = 220
\n" ); document.write( "--------------------------------
\n" ); document.write( "Rewrite for elimination:
\n" ); document.write( "10k + 15c = 360
\n" ); document.write( "20k + 15c = 480
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\n" ); document.write( "10k = 120
\n" ); document.write( "k = 12 (original # of cats)
\n" ); document.write( "-------------------
\n" ); document.write( "10*12 + 15c = 360
\n" ); document.write( "15c = 240
\n" ); document.write( "c = 16 (original # of canaries)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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