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Mathematical problems in ancient poetry (grade six)
1, I asked Li Sangong,

All the guests came to this shop,

Seven guests in a room, more than seven guests,

A room with nine guests and an empty room,

How many guests and rooms are there?

Solution: there are x guests and y rooms, and the equations are obtained.

7y+7=x

9(y- 1)=x gives y=8 x=63.

A: There are 63 guests and 8 rooms.

Analysis: the invariants in the problem are the number of guests and rooms, so let these two quantities be unknowns X and Y, and we can get a binary linear equation group, and solve the equation group by elimination method.

The magnificent ancient temple is in the mountains. I wonder how many monks there are.

364 bowls, see if they are used up.

Three people eat a bowl of rice and four people eat a bowl of soup.

Excuse me, sir, how many monks are there in the temple?

Suppose there are actually x people.

X/3+X/4=364

X=624

That is * * there are 624 people.

3. Li Bai is walking in the street, playing with wine with a pot.

Double it when you meet a store, and have a drink when you see flowers.

I met the shop flower three times and drank all the wine in the pot.

How much wine is there in the pot?

Suppose there is wine x, because I met shops and flowers three times and drank all the wine in the pot.

So there is {(x * 2-2) * 2-1} * 2-1= 0.

You can get X=7/8.