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
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document.write( "I was asked to find the solution by writing and solving a system of 2 linear equations.\r
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document.write( "so far i have that: k= number of cats and c= number of canaries\r
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document.write( "And what i think the equations might be:
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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) ![]() 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: \n" ); document.write( " and \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 \n" ); document.write( "------------------- \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) \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |