document.write( "Question 1208784: Adam, Ben and Calvin had a total of 540 marbles. Adam gave 1/4 of his marbles to Ben. Then, Ben gave 1/3 of his total number of marbles to Calvin. In the end, all the boys had the same number of marbles.
\n" ); document.write( "(a) How many marbles did each boy have in the end?
\n" ); document.write( "(b) How many marbles did Ben have at first?
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Algebra.Com's Answer #847237 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "         Adam            Ben               Calvin\r\n" );
document.write( "0.        a               b                 c\r\n" );
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document.write( "1.        3a/4           b+a/4              c\r\n" );
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document.write( "2.        3a/4           (2/3)(b+a/4)       c+(1/3)(b+a/4)\r\n" );
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\n" ); document.write( "\n" ); document.write( "The last equation:
\n" ); document.write( "\"%281%2F3%29%28b%2Ba%2F4%29=c\"
\n" ); document.write( "substitute into first equation:
\n" ); document.write( "\"a%2Bb%2B%281%2F3%29%28b%2Ba%2F4%29=540\"\r
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\n" ); document.write( "\n" ); document.write( "\"3a%2B3b%2Bb%2Ba%2F4=3%2A540\"\r
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\n" ); document.write( "\n" ); document.write( "\"12a%2B12b%2B4b%2Ba=12%2A540\"\r
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\n" ); document.write( "\n" ); document.write( "\"13a%2B16b=6480\"\r
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\n" ); document.write( "\n" ); document.write( "Revising system of equations:
\n" ); document.write( "\"system%2813a%2B16b=6480%2C3a%2F4=%282%2F3%29%28b%2Ba%2F4%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%2813a%2B16b=6480%2C7a=8b%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%2813a%2B16b=6480%2C14a-16b=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28a=240%29\"
\n" ); document.write( "and you can find the other values.
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