Li Bai walked on the street with nothing to do. He picked up a pot and went to buy wine. When he met the shop, he doubled it. When he saw the flower, he drank a bucket (the bucket was an ancient vessel). When the shop and Hua finished drinking the wine in the pot, he asked how many buckets there were in the pot?

Li Bai walked on the street with nothing to do. He picked up a pot and went to buy wine. When he met the shop, he doubled it. When he saw the flower, he drank a bucket (the bucket was an ancient vessel). When the shop and Hua finished drinking the wine in the pot, he asked how many buckets there were in the pot?


Suppose the original wine x Dou, he meets the shop three times and sees flowers three times at the same time. After the first meeting, the wine is 2x-1; after the second meeting, the wine is 2 (2x-1) - 1; after the third meeting, the wine is 2 [2 (2x-1) - 1] - 1 = 0; solving this equation, we get x = 78 (Dou). A: how much wine is there in the wine pot



Li Bai walks on the street and goes to buy wine with a pot. When he meets every shop twice as much, he drinks a bucket when he sees flowers. When he meets every shop three times, he drinks the wine in the pot. How much wine is there in the pot?


Arithmetic method: "three encounter shop and flower, drink up the wine in the pot",
Then, there are 1 / 2 drinks in the shop,
Then, the second time you meet a flower, you have 1 △ 2 + 1 bucket of wine,
Eryu shop has wine (1 △ 2 + 1) △ 2dou,
So when it comes to flowers, there is wine (1 △ 2 + 1) △ 2 + 1,
Once in a shop, the formula of the original wine in the pot is
[(1 ﹣ 2 + 1) ﹣ 2 + 1] ﹣ 2 = 7 / 8 (bucket)
Equation:
Therefore, there are 7 / 8 Doujiu in the pot
Respondent: 1040492129 | Level 2 | 2010-8-15 15:38 | prosecution
"Three meet shop and flower, drink up the wine in pot", then three meet shop have wine bar 1 △ 2 Dou, then two meet flower have wine 1 △ 2 + 1 Dou, two meet shop have wine (1 △ 2 + 1) △ 2 Dou, then one meet flower have wine (1 △ 2 + 1) △ 2 + 1 Dou, one meet shop have wine, that is, the formula of original wine in pot is
[(1 ﹣ 2 + 1) ﹣ 2 + 1] ﹣ 2 = 7 / 8 (bucket)
Therefore, there are 7 / 8 Doujiu in the pot
Equation:
If you start with n drinks
2 [[2 (2n-1)] - 1] - 1 = 0
8n-7=0
n=7/8
Original 7 / 8 bucket