SOLUTION: A sailor went to three casinos (gambling houses) on the same night. At the Tropicana, he doubled his money and then lost $30; he took his remaining money and went to Ceasar's Palac

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Question 168016: A sailor went to three casinos (gambling houses) on the same night. At the Tropicana, he doubled his money and then lost $30; he took his remaining money and went to Ceasar's Palace. There he tripled the money with which he entered and lost $54. At that point, he took his remaining money and went to Aladdins. There he quadrupled the money with which he entered but then spent $72. He spent no more money, and when he returned to his room he had $48 left. How much money did he have before he went to the casinos?
Found 2 solutions by jojo14344, josmiceli:
Answer by jojo14344(1513)   (Show Source): You can put this solution on YOUR website!

Let ----> amount of money he has before going to the casinos
At Tropicana:
Double the money but lost $30: , amount he got
.
At Ceasar's Palace:
Tripled the money and lost $54:
------> , amount he got
.
At Aladdins: Quadrupled the money & spent $72:
-----> , amount he got
.
Back to Room:, what's remaining.
Continuing by solving :
--->
, Answer ---> Original Money he has before gambling
Let's check by going back,
At Tropicana: =$28.00
At Ceasar's Palace: =$30.00
At Aladdins: =$48.00 Amount he got going back to his room
Thank you,
Jojo

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the amount he started out with
After the Tropicana, he had
dollars
After Ceasar's Palace, he had
dollars
After Aladdins, he had
dollars
Then he returned to his room with $48

Now solve for




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
dollars
After Ceasar's Palace, he had
dollars
After Aladdins, he had
dollars
Then he returned to his room with $48
OK

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