Question 915524
Let the amounts they get  = {{{L}}}, {{{ I}}}, and {{{C}}}
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(1) {{{ C = (1/2)*L }}}
(2) {{{ I = 3C }}}
(3) {{{ C + L + I = 144 }}}
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(1) {{{ L = 2C }}}
Substitute (1) and (2) into (3)
(3) {{{ C + 2C + 3C = 144 }}}
(3) {{{ 6C = 144 }}}
(3) {{{ C = 24 }}}
and
(2) {{{ I = 3*24}}}
(2) {{{ I = 72 }}}
and
(1) {{{ L = 2*24 }}}
(1) {{{ L = 48 }}}
Charlie gets $24
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check:
{{{ 24 + 48 + 72 = 144 }}}
{{{ 144 = 144 }}}
OK