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 $10 more than that received by B, find the total amount shared by A, B and C.
Choose the correct option
A) $260 B) $360 C) $160 D) $460 E) $560
A = 1/3 ($360+C) =&gt; C = 3A - $360 ---(1)   $360 = 2/7 (A+C) =&gt; C = 3.5 $360 - A --($360)   A-$360 = $10   A = 10+$360   (1)===&gt; C = 30+3$360 - $360 = 2$360+30 ==&gt; 2$360-C = -30 ---(3)   (2)===&gt; C = 3.5 $360 - $360-10 = 2.5$360-10==&gt;2.5$360-C = 10---(4)   from (4) and (3) 0.5$360 = 40   $360 = $80   A= $90   C =270-80= 
<gadget id="calculator">270-80</gadget>
<output>190</output>
$190 Total amount= 90+80+190= 
<gadget id="calculator">90+80+190</gadget>
<output>360</output>
$360   Answer: $360
<result>B</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 $10 more than that received by B, find the total amount shared by A, B and C.