document.write( "Question 24410: Hi I am a mother of a pre-algebra student and I am having a problem helping her with this word problem.\r
\n" ); document.write( "\n" ); document.write( "You are given $100 and need to buy cats, dogs and mice which also must equal 100. Cats cost $1.00, Dogs cost $15.00 and mice cost $.25. All the money must be gone and you have to use each animal at least once.\r
\n" ); document.write( "\n" ); document.write( "I would appreciate any help that you can give me.\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "Stephanie Kilburn
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Algebra.Com's Answer #12994 by askmemath(368)\"\" \"About 
You can put this solution on YOUR website!
Since you have to buy 1 of each animal,let's say you buy X Cats, Y Dogs and Z Mice.\r
\n" ); document.write( "\n" ); document.write( "Now the sum total of these animals is 100
\n" ); document.write( "i.e. X+Y+Z = 100
\n" ); document.write( "Now since each cat costs $1, X cats will cost 1x X = 1X
\n" ); document.write( "Similarly each dog will cost you 15Y
\n" ); document.write( "and Each mouse will cost 0.25Z
\n" ); document.write( "The sum total is $100
\n" ); document.write( "So
\n" ); document.write( "1X+15Y + 0.25Z = 100 (1)\r
\n" ); document.write( "\n" ); document.write( "X+Y+Z = 100 (2) \r
\n" ); document.write( "\n" ); document.write( "Can you solve from here? Subtracting (2) from (1) will give you an equation in terms of Y and Z. Solve for either variable and put it back into any equation to get your answer.
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