Question 168016
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Let {{{x}}}----> amount of money he has before going to the casinos
At Tropicana:
Double the money but lost $30: {{{2x-30}}}, amount he got
.
At Ceasar's Palace:
Tripled the money and lost $54: {{{3(2x-30)-54}}}
{{{6x-90-54}}} ------> {{{6x-144}}}, amount he got
.
At Aladdins: Quadrupled the money & spent $72: {{{4(6x-144)-72}}}
{{{24x-576-72}}} -----> {{{24x-648}}}, amount he got
.
Back to Room:{{{24x-648=highlight(48)}}}, what's remaining.
Continuing by solving {{{x}}}:
{{{24x=648+48=696}}} --->{{{cross(24)x/cross(24)=cross(696)29/cross(24)}}}
{{{highlight(x=29)}}}, Answer ---> Original Money he has before gambling
Let's check by going back,
At Tropicana: {{{2*29-30=58-30}}}=$28.00
At Ceasar's Palace: {{{3*28-54=84-54}}}=$30.00
At Aladdins: {{{4*30-72=120-72}}}=$48.00 Amount he got going back to his room
Thank you,
Jojo</pre>