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 $30 more than that received by B, find the total amount shared by A, B and C.	Choose the correct choice from the following answers:	A) $1080	B) $1180	C) $1280	D) $1380	E) $1480
$1080 = 1/3 (B+C) =&gt; C = 3$1080 - B ---(1)   B = 2/7 ($1080+C) =&gt; C = 3.5 B - $1080 --(B)   $1080-B = $30   $1080 = 30+B   (1)===&gt; C = 90+3B - B = 2B+90 ==&gt; 2B-C = -90 ---(3)   (2)===&gt; C = 3.5 B - B-30 = 2.5B-30==&gt;2.5B-C = 30---(4)   from (4) and (3) 0.5B = 120   B = $240   $1080= $270   C =810-240= 
<gadget id="calculator">810-240</gadget>
<output>570</output>
$570 Total amount= 270+240+570= 
<gadget id="calculator">270+240+570</gadget>
<output>1_080</output>
$1080   $1080nswer: $1080
<result>A</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 $30 more than that received by B, find the total amount shared by A, B and C.