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) About Me  (Show Source):
You can put this solution on YOUR website!

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%282x-30%29-54
6x-90-54 ------> 6x-144, amount he got
.
At Aladdins: Quadrupled the money & spent $72: 4%286x-144%29-72
24x-576-72 -----> 24x-648, amount he got
.
Back to Room:24x-648=highlight%2848%29, what's remaining.
Continuing by solving x:
24x=648%2B48=696 --->cross%2824%29x%2Fcross%2824%29=cross%28696%2929%2Fcross%2824%29
highlight%28x=29%29, Answer ---> Original Money he has before gambling
Let's check by going back,
At Tropicana: 2%2A29-30=58-30=$28.00
At Ceasar's Palace: 3%2A28-54=84-54=$30.00
At Aladdins: 4%2A30-72=120-72=$48.00 Amount he got going back to his room
Thank you,
Jojo

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x= the amount he started out with
After the Tropicana, he had
2x+-+30 dollars
After Ceasar's Palace, he had
3%2A%282x+-+30%29+-+54 dollars
After Aladdins, he had
4%2A%286x+-+90+-+54%29+-+72 dollars
Then he returned to his room with $48
48+=+4%2A%286x+-+90+-+54%29+-+72
Now solve for x
48+=+24x+-+360+-+216+-+72
24x+=+360+%2B+216+%2B+72+%2B+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%2A29+-+30+=+28 dollars
After Ceasar's Palace, he had
3%2A%282%2A29+-+30%29+-+54+=+30 dollars
After Aladdins, he had
4%2A%286%2A29+-+90+-+54%29+-+72+=+48 dollars
Then he returned to his room with $48
OK