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Math diary: The chicken and the rabbit are in the same cage.
Many students are afraid to take the Olympic math class, because a series of Olympic math problems will make people dizzy. But I have a soft spot for it and feel that "the scenery here is unique." The usual teacher is monotonous and boring. Every lesson in Olympic Mathematics brings me a sense of freshness, which makes me learn a lot of knowledge that I can't learn in class. Many thinking problems that are usually difficult to solve can be solved here.

Today's class made me feel the joy of learning again. The teacher taught us to solve problems with the method of "chicken and rabbit in the same cage", and one of the questions was written like this:

Three cows and eight sheep eat grass. 5 kg; 8 cows and 23 sheep eat grass a day 1 17. 5 kilograms. If Yi eats three times as much grass as a sheep, how many kilograms does a sheep eat?

The teacher asked, "Who can solve this problem?" I raised my hand, but the teacher didn't notice, so I explained myself: "In fact, this question is quite simple. We eat grass from three cows and eight sheep a day. 5 kg, it is known that you can eat 3×3 cows and 8×3 sheep a day ... "There are four steps in the teacher's answer, and I only used three. After the teacher finished speaking, I said, "Teacher, I can solve the problem in only three steps." The teacher said, "Then tell me about your solution." I said, "The illness says that Yi eats three times as much grass as a sheep. After I convert cattle into sheep, three sheep are converted into 3×3 sheep, and one * * * has 9+8= 17 sheep. The total amount of grass eaten by three cows and eight sheep in a day is 42. 5÷ 17=2。 5 kg, found out that each sheep eats grass every day 2. 5 kilograms. " The teacher smiled and said, "Yes, An Ting's method of solving problems is called method of substitution, which makes solving problems very simple. Everyone should learn from her in the future, and don't just be satisfied with a solution. " I was flattered by the praise.

I study, I am happy, and the "scenery" here is really strange. Students, let's enjoy it together!