On tuesday shanice bought five hats. on wednesday half of all the hats that she had were destroyed. on thursday there were only 17 left. how many did she have on monday?

She had 29 hats on Monday

since half of the hats were destroyed on Wednesday, and she had 17 hats afterwords, this tells us that she had 34 hats on Wednesday, since half of 34 is 17. since she bought 5 hats on Tuesday, we subtract 5 hats from 34 because she didnt have them on monday, which is what we need to find out. 34-5 is 29, so she had 29 hats on Monday

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