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Okay, let's break down the question first in order to answer it

Firstly, anytime the girl buys the dog the girl loses money (represented by a negative sign -) and everything the girl sells the dog she gains money (represented by a positive sign +)

1) The girl bought a dog for 10, so she has lost 10 ( represented with a -10)

2) She then sold the dog for 15 ( represented by a +15) but because she had -10 to begin with when she sold the dog her actual profit is represented by adding +15 to -10. This means at this point in the question the girl has had a +5 profit.

3) Now the girl buys back the dog for 20 ( represented by -20) but because the girl had +5 to begin with when she bought back the dog the actual money she has can be represented by adding -20 to +5 which equals -15. This means at this point in the question the girl has lost 15 ( represented by -15).

4) Finally the girl sells the dog for 25 (represented by a +25) but because the girl had a -15 to begin with you have to add -15 to +25 to get the girls total profit. The answer is +10. This means the girl has gained 10 dollars ( represented by +10) in money from her total interactions with her dog.

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Q: A girl bought a dog for 10 sold it for 15bought it back for 20 and finally sold it for 25 did the girl make or lose money and how much did she make or lose?
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