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On the board today in my calculus class, the teacher had a word problem that has stumped some other teacher, and wanted to see if we could figure it out (I realize this is the PREcalculus board, but I'm sure calculus isn't required to solve the problem). I don't remember it word for word, but I know the gist of it...

"You go into a store with a certain amount of dollars and cents. You spend half of your money. After spending half of your money, you now have half as many dollars as you had in cents, and the same number of cents as you had in dollars. How much money did you have to start with?"

Just in case that isn't clear, here's an example of what an answer COULD look like... original: $48.66

new: $33.48

See how the $33 in the "new" amount is half of the cents that was in the original, and the cents in the "new" amount is exactly the amount of dollars in the "original"? Of course, $48.66 isn't the right answer, because 33.48 isn't half of $48.66. I imagine I could come up with an answer after some "brute force", but I'd rather not guess and check. Good luck!

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# Homework Help: Can you figure this out? (word problem)

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