# Three friends Alice, Bond and Charlie divide $1105 among them. When$10, $20 and$15 are removed from the sums that Alice, Bond and Charlie received, the share of the sums that they receive is in the ratio of 11 : 18 : 24. What did Charlie receive?

## Three friends Alice, Bond and Charlie divide $1105 amongs them. When$10, $20 and$15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they receive is in the ratio of 11 : 18 : 24. How much did Charlie receive?

May 10, 2016

$495 #### Explanation: Note that: $1105 - $10 -$20 - $15 =$1060

Note that:

$11 + 18 + 24 = 53$

So:

($1060)/(11+18+24) = ($1060)/53 = $20 So after the $10, $20 and $15 are removed, the amounts Alice, Bond and Charlie receive are:

{ ("Alice: " $20 * 11 =$220), ("Bond: " $20 * 18 =$360), ("Charlie: " $20 * 24 =$480) :}

Adding the $10, $20 and $15 back, the original amounts that they received were: { ("Alice: "$220 + $10 =$230), ("Bond: " $360+$20 = $380), ("Charlie: "$480 + $15 =$495) :}