document.write( "Question 1184558: A box of stickers was shared among four children. Faith and Ayan took \"1%2F2\" of the stickers
\n" ); document.write( "while Julia and Shafiq took the rest. Ayan had \"1%2F3\" as many stickers as Faith. Faith had twice
\n" ); document.write( "as many stickers as Julia. Shafiq had 45 stickers more than Ayan. How many stickers
\n" ); document.write( "were there in the box at first?
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Algebra.Com's Answer #815170 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Let x be the number of stickers in the box.

\n" ); document.write( "Faith and Ayan took \"1%2F2\" of the stickers while Julia and Shafiq took the rest.
\n" ); document.write( "[1] \"F%2BA=%281%2F2%29x\"
\n" ); document.write( "[2] \"J%2BS=%281%2F2%29x\"

\n" ); document.write( "Ayan had \"1%2F3\" as many stickers as Faith.
\n" ); document.write( "[3] \"A=%281%2F4%29%281%2F2%29x+=+%281%2F8%29x\"
\n" ); document.write( "[4] \"F=%283%2F4%29%281%2F2%29x+=+%283%2F8%29x\"

\n" ); document.write( "Faith had twice as many stickers as Julia.
\n" ); document.write( "[5] \"J=%281%2F2%29%283%2F8%29x+=+%283%2F16%29x\"

\n" ); document.write( "Then from [2] and [5],
\n" ); document.write( "\"S=%285%2F16%29x\"

\n" ); document.write( "Shafiq had 45 stickers more than Ayan.
\n" ); document.write( "\"%285%2F16%29x=%281%2F8%29x%2B45\"
\n" ); document.write( "\"%285%2F16%29x=%282%2F16%29x%2B45\"
\n" ); document.write( "\"%283%2F16%29x=45\"
\n" ); document.write( "\"x=45%2F%283%2F16%29=45%2816%2F3%29+=+15%2A16=240\"

\n" ); document.write( "ANSWER: 240

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