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? \n" ); document.write( "

Algebra.Com's Answer #847489 by MathTherapy(10552) $\"\"$ $\"About$

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document.write( "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.\r\n" );
document.write( "(a) How many marbles did each boy have in the end? \r\n" );
document.write( "(b) How many marbles did Ben have at first?\r\n" );
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document.write( "The number of marbles REMAINED the SAME throughout all the back-and-forth exchanges.\r\n" );
document.write( "Since the total number they began with was 540, and since ALL 3 ended up with the same number,\r\n" );
document.write( "each ended up with  = 180 marbles.\r\n" );
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document.write( "Now, let amount Adam and Ben started with, be A and B, respectively\r\n" );
document.write( "After Adam gave  of his marbles to Ben, Adam then had  remaining\r\n" );
document.write( "Since Adam had 180 remaining after his exchange with Ben, we get: \r\n" );
document.write( "                                      Amount Adam started with, or \r\n" );
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document.write( "After receiving  of Adam's marbles, or , Ben then had . But, after giving  of his\r\n" );
document.write( "REMAINING marbles to Calvin, Ben then had  remaining\r\n" );
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document.write( "As Ben had 180 remaining after his exchanges with Adam and Calvin, we get: \r\n" );
document.write( "                                                                          -- Substituting 240 for A\r\n" );
document.write( "                                                                          \r\n" );
document.write( "\r\n" );
document.write( "                                              Amount Ben started with, or

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