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Math stories, math interesting questions and math background materials in the sixth grade of primary school mathematics.
An old lady sells live ducks, and three buyers come. After a while, she will pack all the ducks. One of the buyers said, "I'll buy half of two baskets of ducks." Another buyer said, "I'll buy his remaining half." The third buyer said, "I'll buy the remaining half." The old lady thought, three people are joking. How can a lively duck sell half of it? But on second thought, I happily sold them two baskets of live ducks, none left. How many live ducks did Grandma * * * sell? How much did the three of them buy?

1) A book has no blank pages from beginning to end, only one page is torn off in the middle, and all the other page numbers are added up. The result is 1993. How many pages are there in this book, and how many pages are there in the torn one?

(2) The number of three classes in the sixth grade of Huixin Primary School is equal. The number of boys in class 6-/kloc-0 = the number of girls in class 6-2, and the number of boys in class 6-3 is 40% of all boys. What's the percentage of girls in the whole grade?

PS: Keep one decimal place before the percent sign!

(3) Party A and Party B complete two tasks respectively. It takes 29 days for Party A to finish Work A in sunny days, and the work efficiency decreases in rainy days1/5; It takes 32 days for B to finish B's work in sunny days, and the work efficiency decreases in rainy days110; Later, the two men started at the same time and finished at the same time. How many rainy days are there during this period?