A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $15 more than that received by B, find the total amount shared by A, B and C.  Select.
A) $250
B) $340
C) $640
D) $440
E) $540
A = 1/3 (B+C) =&gt; C = 3A - B ---(1)   B = 2/7 (A+C) =&gt; C = 3.5 B - A --(B)   A-B = $15   A = 15+B   (1)===&gt; C = 45+3B - B = 2B+45 ==&gt; 2B-C = -45 ---(3)   (2)===&gt; C = 3.5 B - B-15 = 2.5B-15==&gt;2.5B-C = 15---(4)   from (4) and (3) 0.5B = 60   B = $120   A= $135   C =405-120= 
<gadget id="calculator">405-120</gadget>
<output>285</output>
$285 Total amount= 135+120+285= 
<gadget id="calculator">135+120+285</gadget>
<output>540</output>
$540   Answer: $540
<result>E</result>
A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $15 more than that received by B, find the total amount shared by A, B and C.