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Who can help me to do some math problems? (please use primary school knowledge to solve the problems, and write down the detailed solution ideas and process) 1. Two people report any natural number from 1 to 10 in turn. At the same time, they add up the numbers reported. Whoever makes the cumulative sum reach 500 first will win. Then, if the reporter (fill in "first" or "later") is sure to win, he must report () 2. The donkey and the mule walked side by side, carrying heavy packages on their backs. The donkey complained that his packages were too heavy. "Your burden?" the mule retorted, "if you take a package from your back to me, my burden will be twice as much as yours. If you take a package from my back to you, you will carry as much as mine." the donkey carried () packages, The mule carried () packages 3. A scientific investigation team has to cross a mountain. It goes up the mountain at 8:00 a.m. and travels 3 kilometers per hour. When it reaches the top of the mountain, it takes an hour to rest. When it goes down the mountain, it travels 5 kilometers per hour and reaches the bottom of the mountain at 2:00 p.m
1. Two people take turns to report any natural number from 1 to 10, and at the same time, add up the numbers reported. Whoever makes the cumulative sum reach 500 first will win. Then, (first) (fill in "first" or "later") the reporter is sure to win, he must report (5) (500-5) / 11 = 45, that is, the first time you report 5, and then the other party reports a number
A farm plans to use a 60 cm long fence against the wall to form five sheepfolds of equal size. Q: if the area of each sheepfolds is required to be as large as possible, how many square meters should it be
When the length and width are equal, the area is the largest
So make five squares
The length of the fence is equal to the side length of five squares
The width of the fence is equal to the side length of 5 + 1 = 6 squares
The side length of a square is 60 (5 + 6) = 60 / 11 (m)
The area of each sheep pen is 60 / 11 × 60 / 11 = 3600 / 121 (M2)
Story books account for 25% of the total. The ratio of science fiction books to the other two books is 1:5. In order to know the total number of 140 comic books, how many of the three books are purchased?
I'll add it later,
The number of science fiction books is one to five
Science fiction books account for one sixth of the total
The total number is 140 / (1-1 / 6-0.25) = 140 / (7 / 12) = 240
A: a total of 240 books were purchased
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