document.write( "Question 1188019: Hi
\n" ); document.write( "Edmund bought some packs of cookies. A small pack costs $4, a medium pack costs $6 and a large pack costs $8 . 1/3 of the packs were small. He bought 1/5 more medium packs than small. The remaining were large. If he spent 180 dollars, how many packs of each did he buy.\r
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Algebra.Com's Answer #819072 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The problem is faulty. The numbers of packs of each size must be whole numbers, which they are not with the given information.

\n" ); document.write( "Let x be the total number of packs.

\n" ); document.write( "1/3 of the packs were small:
\n" ); document.write( "\"%281%2F3%29x\" = number of small packs

\n" ); document.write( "The number of medium packs was 1/5 more than the number of small packs -- i.e., 6/5 times as many:
\n" ); document.write( "\"%286%2F5%29%281%2F3%29x+=+%282%2F5%29x\" = number of medium packs

\n" ); document.write( "The rest of the packs were large:
\n" ); document.write( "\"x+-+%281%2F3%29x+-+%282%2F5%29x+=+%2815%2F15%29x-%285%2F15%29x-%286%2F15%29x+=+%284%2F15%29x\" = number of large packs

\n" ); document.write( "The total cost is then

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\n" ); document.write( "\"%2888%2F15%29x=180\"
\n" ); document.write( "\"88x=2700\"
\n" ); document.write( "\"x=2700%2F88\"

\n" ); document.write( "That is not a whole number....

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