document.write( "Question 1036213: A certain pet store has only cats and dogs. The ratio of the number of cats to the number of dogs in the pet store is 2:3. 1/4 of the cats and 1/2 of the dogs wear collars. If there are 48 animals that wear collars, how many animals are in the pet store? \n" ); document.write( "
Algebra.Com's Answer #650859 by josmiceli(19441)\"\" \"About 
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Let \"+c+\" = number of cats in pet store
\n" ); document.write( "Let \"+d+\" = number of dogs in pet store
\n" ); document.write( "\"+c%2Fd+=+2%2F3+\"
\n" ); document.write( "(1) \"+c+=+%282%2F3%29%2Ad+\"
\n" ); document.write( "------------------
\n" ); document.write( "\"+%281%2F4%29%2Ac+%2B+%281%2F2%29%2Ad+=+48+\"
\n" ); document.write( "multiply both sides by \"+4+\"
\n" ); document.write( "(2) \"+c+%2B+2d+=+192+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+%282%2F3%29%2Ad+%2B+2d+=+192+\"
\n" ); document.write( "(2) \"+%288%2F3%29%2Ad+=+192+\"
\n" ); document.write( "(2) \"+8d+=+576+\"
\n" ); document.write( "(2) \"+d+=+72+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+c+=+%282%2F3%29%2Ad+\"
\n" ); document.write( "(1) \"+c+=+%282%2F3%29%2A72+\"
\n" ); document.write( "(1) \"+c+=+48+\"
\n" ); document.write( "----------------------
\n" ); document.write( "\"+c+%2B+d+=+72+%2B+48+\"
\n" ); document.write( "\"+c+%2B+d+=+120+\"
\n" ); document.write( "120 animals are in the pet store
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+%281%2F4%29%2Ac+%2B+%281%2F2%29%2Ad+=+48+\"
\n" ); document.write( "\"+%281%2F4%29%2A48+%2B+%281%2F2%29%2A72+=+48+\"
\n" ); document.write( "\"+12+%2B+36+=+48+\"
\n" ); document.write( "\"+48+=+48+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );