document.write( "Question 1105576: Hi
\n" ); document.write( "ben and tom had a total of 144 sweets.ben gave tom 1/5 of what he had. Tom the gave ben 1/4 of what he had to ben. If both had an equal number of sweets in the end, how many did each of them have at first. \r
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Algebra.Com's Answer #720435 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
RETRY---------------------\r
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\n" ); document.write( "\n" ); document.write( "ben gave tom 1/5 of what he had. Tom the gave ben 1/4 of what he had to ben.
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\n" ); document.write( "\n" ); document.write( "After that process is done,
\n" ); document.write( "Ben has \"4b%2F5%2Bt%2F4%2Bb%2F20\" and Tom has \"t%2Bb%2F5-t%2F4-b%2F20\". These values are given as equal and their equality can be simplified.\r
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\n" ); document.write( "If both had an equal number of sweets in the end, how many did each of them have at first.
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\n" ); document.write( "\n" ); document.write( "\"4b%2F5%2Bt%2F4%2Bb%2F20=t%2Bb%2F5-t%2F4-b%2F20\"
\n" ); document.write( "LCD 20 so multiply both members by 20.\r
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\n" ); document.write( "\n" ); document.write( "\"16b%2B5t%2Bb=20t%2B4b-5t-b\"
\n" ); document.write( "\"14b=10t\"
\n" ); document.write( "\"7b=5t\"
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\n" ); document.write( "Use \"b%2Bt=144\" and substitute for t.
\n" ); document.write( "\"7b=5%28144-b%29\"
\n" ); document.write( "\"7b=5%2A144-5b\"
\n" ); document.write( "\"12b=5%2A144\"
\n" ); document.write( "\"b=5%2A12\"
\n" ); document.write( "\"highlight%28b=60%29\"--------------original amount Ben had.\r
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\n" ); document.write( "\n" ); document.write( "\"t=144-60\"
\n" ); document.write( "\"highlight%28t=84%29\"------------original amount Tom had.\r
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\n" ); document.write( "\n" ); document.write( "Follow the description step-wise literally.\r
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\n" ); document.write( "\n" ); document.write( "b, Ben had originally
\n" ); document.write( "t, Tom had originally\r
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\n" ); document.write( "\n" ); document.write( "b+t=144
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\n" ); document.write( "\n" ); document.write( "\"b-b%2F5\" and \"t%2Bb%2F5\", Ben and Tom\r
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\n" ); document.write( "\n" ); document.write( "\"b-b%2F5%2B%28t%2Bb%2F5%29%2F4\" and \"t%2Bb%2F5-%28t%2Bb%2F5%29%2F4\", Ben and Tom\r
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\n" ); document.write( "\n" ); document.write( "Now these last two numbers are given as equal.
\n" ); document.write( "\"b-b%2F5%2B%28t%2Bb%2F5%29%2F4=t%2Bb%2F5-%28t%2Bb%2F5%29%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"b-b%2F5%2Bt%2F4%2Bb%2F20=t%2Bb%2F5-t%2F4-b%2F20\"\r
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\n" ); document.write( "\n" ); document.write( "LCD is 20, so multiply both sides by 20.\r
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\n" ); document.write( "\n" ); document.write( "\"20b-4b%2B5t%2Bb=20t%2B4b-5t-b\"\r
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\n" ); document.write( "\n" ); document.write( "\"17b%2B5t=23b-5t\"\r
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\n" ); document.write( "\n" ); document.write( "\"10t=6b\"\r
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\n" ); document.write( "\n" ); document.write( "\"5t=3b\"\r
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\n" ); document.write( "Make substitution from \"b%2Bt=144\"
\n" ); document.write( "\"b=144-t\"
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\n" ); document.write( "\n" ); document.write( "\"5t=3%28144-t%29\"
\n" ); document.write( "\"5t=-3t%2B432\"
\n" ); document.write( "\"8t=432\"
\n" ); document.write( "\"cross%28t=54%29\"-------------Tom had originally.\r
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\n" ); document.write( "\n" ); document.write( "\"cross%28b=90%29\"------------Ben had originally.
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