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?

Question

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?

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Answer 1 · 2016-05-10T22:01:53

#$495#

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) :}#