document.write( "Question 1046149: Hi
\n" ); document.write( "there were 3/4 as many sweets in box a as in box b.1/2 of the sweetsin box a and 3/8 of the sweets in box b were removed. There were then 152 sweets left in both boxes altogether. How many sweet s were there in each box at first. \r
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\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #661642 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(1) $\"+a+=+%283%2F4%29%2Ab+\"$
\n" ); document.write( "(2) $\"+a+-+%281%2F2%29%2Aa+%2B+b+-+%283%2F8%29%2Ab+=+152+\"$
\n" ); document.write( "----------------------------------
\n" ); document.write( "(2) $\"+%281%2F2%29%2Aa+%2B+%285%2F8%29%2Ab+=+152+\"$
\n" ); document.write( "Mul;tiply both sides by $\"+8+\"$
\n" ); document.write( "(2) $\"+4a+%2B+5b+=+1216+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) $\"+4a+=+3b+\"$
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) $\"+3b+%2B+5b+=+1216+\"$
\n" ); document.write( "(2) $\"+8b+=+1216+\"$
\n" ); document.write( "(2) $\"+b+=+152+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+%283%2F4%29%2Ab+\"$
\n" ); document.write( "(1) $\"+a+=+%283%2F4%29%2A152+\"$
\n" ); document.write( "(1) $\"+a+=+114+\"$
\n" ); document.write( "Box a had 114 and box b had 152 sweets
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\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%281%2F2%29%2Aa+%2B+%285%2F8%29%2Ab+=+152+\"$
\n" ); document.write( "(2) $\"+%281%2F2%29%2A114+%2B+%285%2F8%29%2A152+=+152+\"$
\n" ); document.write( "(2) $\"+57+%2B+95+=+152+\"$
\n" ); document.write( "(2) $\"+152+=+152+\"$
\n" ); document.write( "OK\r
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