Question 168016
Let {{{x}}}= the amount he started out with
After the Tropicana, he had
{{{2x - 30}}} dollars
After Ceasar's Palace, he had
{{{3*(2x - 30) - 54}}} dollars
After Aladdins, he had
{{{4*(6x - 90 - 54) - 72}}} dollars
Then he returned to his room with $48
{{{48 = 4*(6x - 90 - 54) - 72}}}
Now solve for {{{x}}}
{{{48 = 24x - 360 - 216 - 72}}}
{{{24x = 360 + 216 + 72 + 48}}}
{{{24x = 696}}}
{{{x = 29}}}
He had $29 before he went to the Casinos
You can go back over it step by step again
He started with $29
After the Tropicana, he had
{{{2*29 - 30 = 28}}} dollars
After Ceasar's Palace, he had
{{{3*(2*29 - 30) - 54 = 30}}} dollars
After Aladdins, he had
{{{4*(6*29 - 90 - 54) - 72 = 48}}} dollars
Then he returned to his room with $48
OK