Three friends Alice, Bond and Charlie divide $1105 amongs them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive?
Select
A) $495
B) $510
C) $480
D) $375
E) $360
Explanatory Answer   Let the sums of money received by A, B and C be x, y and z respectively.   Then x - 10 : y - 20 : z -15 is 11a : 18a : 24a   When $10, $20 and $15 are removed, we are removing a total of $45 from $1105.   Therefore, 11a + 18a + 24a = 1105 - 45= 
<gadget id="calculator">1105 - 45</gadget>
<output>1_060</output>
1060   i.e., 53a= 1060   or a = 20.   We know that z - 15 = 24a = 24 * 20= 
<gadget id="calculator">24 * 20</gadget>
<output>480</output>
480   Therefore, z= 480 + 15= 
<gadget id="calculator">480 + 15</gadget>
<output>495</output>
$495   correct choice is ($495)
<result>A</result>
Three friends Alice, Bond and Charlie divide $1105 amongs them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive?