document.write( "Question 515073: Carol's cat weighs 2 pounds. Doug's dog weighs 14 pounds. Both pets are gaining
\n" ); document.write( "about a pound a month. If they keep on gaining weight like that, the dog will soon weigh three times as much as the cat. How many pounds will the cat weigh then? \n" ); document.write( "

Algebra.Com's Answer #343692 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"m\"$ = number of months
\n" ); document.write( "after the 1st weighing
\n" ); document.write( "Let $\"c\"$ = cat's weight
\n" ); document.write( "Let $\"d\"$ = dog's weight
\n" ); document.write( " $\"+c%2Fd+=+%28+2+%2B+1%2Am+%29+%2F+%28+14+%2B+1%2Am+%29+\"$
\n" ); document.write( "When the dog weighs 3 times the cat:
\n" ); document.write( " $\"+c%2F3c+=+%28+2+%2B+1%2Am+%29+%2F+%28+14+%2B+1%2Am+%29+\"$
\n" ); document.write( " $\"+1%2F3+=+%28+2+%2B+1%2Am+%29+%2F+%28+14+%2B+1%2Am+%29+\"$
\n" ); document.write( "Multiply both sides by $\"+3%2A%28+14+%2B+m+%29+\"$
\n" ); document.write( " $\"+14+%2B+m+=+3%2A%28+2+%2B+m+%29+\"$
\n" ); document.write( " $\"+14+%2B+m+=+6+%2B+3m+\"$
\n" ); document.write( " $\"+2m+=+8+\"$
\n" ); document.write( " $\"+m+=+4+\"$
\n" ); document.write( "The dog will weigh $\"+14+%2B+m+=+18+\"$ pounds
\n" ); document.write( "The cat will weigh $\"+2+%2B+m+=+6+\"$ pounds \n" ); document.write( "

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