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 $35 more than that received by B, find the total amount shared by A, B and C.	Pick one:
A) $1360
B) $1250
C) $1260
D) $1270
E) $1280
A = 1/3 (B+$1260) =&gt; $1260 = 3A - B ---(1)   B = 2/7 (A+$1260) =&gt; $1260 = 3.5 B - A --(B)   A-B = $35   A = 35+B   (1)===&gt; $1260 = 105+3B - B = 2B+105 ==&gt; 2B-$1260 = -105 ---(3)   (2)===&gt; $1260 = 3.5 B - B-35 = 2.5B-35==&gt;2.5B-$1260 = 35---(4)   from (4) and (3) 0.5B = 140   B = $280   A= $315   $1260 =945-280= 
<gadget id="calculator">945-280</gadget>
<output>665</output>
$665 Total amount= 315+280+665= 
<gadget id="calculator">315+280+665</gadget>
<output>1_260</output>
$1260   Answer: $1260
<result>C</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 $35 more than that received by B, find the total amount shared by A, B and C.