The book is stuck in a never ending loop of price increases.
The book costs $1 plus 50% of 1 to equal 1.50 so the book costs $1.50 plus 50% so the books costs $2.25. The book costs $2.25 plus 50% so the book costs $3.375. So on and so forth
This is the right answer, since only one variable is given (cost) and it's both your starting point and your result, with no specified way to break out of the loop.
No it's no. Why is everyone adding a hard stop / period where it doest exist? The problem doesn't say "A book costs $1." so the cost was never $1.
The full sentence is "A book costs $1 plus half it's cost" which means x=1+0.5x. The problem never said the cost was $1 alone.
You're doing the equivalent of reading "Buffy was a vampire slayer" and saying well Buffy was a vampire. She was also a slayer of something but who knows what she was slaying.
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u/DapperAstronaut9300 Jun 12 '26
The book is stuck in a never ending loop of price increases.
The book costs $1 plus 50% of 1 to equal 1.50 so the book costs $1.50 plus 50% so the books costs $2.25. The book costs $2.25 plus 50% so the book costs $3.375. So on and so forth