document.write( "Question 1184970: At first, Ali had 1 3/4 times as many stamps as John had and 1 4/5 times as
\n" ); document.write( "many stamps as Sam had. Later, John gave 1/12 of his stamps to Sam, and Ali
\n" ); document.write( "gave 1/9 of his stamps to Sam. As a result, Sam had 180 stamps in the end.
\n" ); document.write( "a) Find the ratio of the number of John’s savings to the number of Sam’s stamps at first.
\n" ); document.write( "b) How many stamps did the three boys have altogether?
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Algebra.Com's Answer #815734 by 54929(12)\"\" \"About 
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Let, Ali has “x” number of stamps
\n" ); document.write( "number of stamps Ali had = x\r
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\n" ); document.write( "\n" ); document.write( "Ali had 1\"3%2F4\" = \"7%2F4\" stamps as John had i.e., John had \"4%2F7\" stamps as Ali had.
\n" ); document.write( "number of stamps John had = \"4%2F7\"x
\n" ); document.write( "Ali had 1\"4%2F7\" = \"9%2F5\" stamps as Sam had i.e Sam had \"5%2F9\" stamps as Ali had
\n" ); document.write( "number of stamps Sam had = \"5%2F9\"x
\n" ); document.write( "John gave \"1%2F12\" of his stamps to Sam, and Ali gave \"1%2F9\" of his
\n" ); document.write( "stamps to Sam. As a result Sam has 180 stamps in the end\r
\n" ); document.write( "\n" ); document.write( "\"5%2F9\"x + \"1%2F12\"[\"4%2F7\"x] + \"1%2F9\" [x] = 180\r
\n" ); document.write( "\n" ); document.write( "\"5x%2F9\" + \"x%2F21\" + \"x%2F9\" = 180\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2F9\" + \"x%2F21\" = 180\r
\n" ); document.write( "\n" ); document.write( "\"2x%2F3\" + \"x%2F21\" = 180\r
\n" ); document.write( "\n" ); document.write( "14x+x/21 = 180\r
\n" ); document.write( "\n" ); document.write( "\"15x%2F21\" = 180\r
\n" ); document.write( "\n" ); document.write( "x = 12 * 21\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x+=+252%29\"\r
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\n" ); document.write( "\n" ); document.write( "(a) Ratio of John’s savings : Sam’s stamps at first
\n" ); document.write( "\"4%2F7\"x : \"5%2F9\"x
\n" ); document.write( "\"4%2F7\" : \"5%2F9\"
\n" ); document.write( "36:35
\n" ); document.write( "(b) Total stamps = x + \"4%2F7\"x + \"5%2F9\"x
\n" ); document.write( " = 252 + \"4%2F7\"(252) + \"5%2F9\" (252)
\n" ); document.write( " = 252 + 144 + 140
\n" ); document.write( " = 536
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