SOLUTION: A woman went with her husband to a local casino one evening. They were both very lucky. the husband started with $30 and tripled his money every hour for four hours. His wife also

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Question 1144692: A woman went with her husband to a local casino one evening. They were both very lucky. the husband started with $30 and tripled his money every hour for four hours. His wife also tripled her money every hour, but left after 3 hours. If they both went home with the same amount of money, how much money did the woman start with.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Using logical reasoning....

The husband started with $30 and tripled his money 4 times.
The wife finished with the same amount as her husband but tripled her money only 3 times.
Since she finished with the same amount but tripled her money one time less, she must have started with 3 times as much.

ANSWER: $90

(2) Using formal algebra....

The man started with 30 and finished with 30*(3^4).
The woman started with x and finished with x*(3^3).
They finished with the same amount:

30%2A3%5E4+=+x%2A3%5E3
x+=+%2830%2A3%5E4%29%2F%283%5E3%29+=+30%2A3+=+90