Two spoons for scooping wine can scoop 7 taels and 11 taels of wine respectively, how to scoop out 2

First shake the 11 taels to the full, pour them into 7 taels, pour the wine in 7 taels, pour the wine in 11 taels into the spoon of 7 taels, so that there are 4 taels of wine in the 7 taels of spoons, and then fill the spoon with 11 taels and pour in the spoons containing 4

In the 7 taels of two spoons of wine, 8 taels of wine are left in 11 taels, pour 7 taels of wine into 7 taels of wine, pour 11 taels of wine into 7 taels of spoons, so that 1 tael of wine is left in 11 taels of spoons, pour into 7 taels of spoons, and then scoop 11 taels of spoonful, pour 7 taels of wine until full, so that 5 taels of wine are left in 11 taels of 11 taels of wine in 11 taels of spoons, so that only 2 taels of 7 taels of wine are left in 7 taels of spoons.

1.Scoop 11 taels of wine first, pour 11 taels of wine into a spoon of 7 taels, so that there are 4 taels of wine, and pour 4 taels of wine into a glass.

2.Repeat it again, add the extra wine from the two times, that is, 8 taels of wine, so pour 8 taels of wine into a spoon of 7 taels, and put 1 tael of extra wine into another glass.

3.Repeat the first and second steps. Pour together the two extra taels of wine, and it will be 2 taels of wine.

Scoop 7 taels into 11 taels of spoons.

Scoop 7 taels and pour them into 11 taels, leaving 3 taels in the 7 taels spoon.

Pour out the 11 taels of wine and the remaining 3 taels of the 7 taels of the spoons.

Then scoop 7 taels and pour them into 11 taels, and the 11 taels of spoons can also be filled with 11-(3+7)=1 taels.

Scoop 7 taels into 11 taels of spoons, and 7 taels of spoons will leave 7-1=6 taels.

Pour out the wine in the 11 taels and pour 6 taels into it, and the 11 taels in the spoon can also hold 11-6 = 5 taels.

Scoop 7 taels into 11 taels of spoons, and 7 taels of spoons are left, leaving 7-5=2 taels.

1.3 catties are scooped and poured into 7 catties (7 catties can also be put 4 catties) 2, 3 catties are scooped and poured into 7 catties (7 catties can also be put 1 catty) 33 catties and then scoop up the full prize of 7 catties (3 catties can also have 2 catties left) 4

Pour 7 catties into a 10 catty spoon, and then put 2 catties of 3 catties into a 7 catties spoon 5 3 catties and pour 7 catties into it, and it's done (2 catties in the 7 catties spoon plus 3 catties is exactly 5 catties).

Use 3 numbers to represent the amount of alcohol in 10 pounds, 7 pounds and 3 pounds respectively.

The steps are as follows: (Initial State).

10 poured into 7, 10 left in 3 catties (7 poured into 3, 7 in 7 left 4 catties).

3 pounds of wine in 3 poured back 10 pounds spoon)

4 catties of wine in 7 catties of spoons are poured into 3 catties of spoons, and 1 catty of 7 is left (drinking one catty of wine in 7 is shameful to waste (putting the rest of the wine in 10 catties of spoons to concentrate).

Pour 9 catties of wine from 10 catties of spoons to 7 catties of spoons, and catch the overflow with 3 catties of spoons (pour 2 catties of the 3 catties of the spoons just now into 10 catties of spoons (pour 3 catties of wine from 7 catties of spoons).

3 catties of 3 catties of spoons plus 2 catties of 10 catties of spoons = 5 catties of wine. ）

10 pours 3

3 inverted 710 inverted 3

3 inverted 710 inverted 3

3 inverted 77 inverted 10

3 inverted 710 inverted 33 inverted 7

11-7=4 (11 taels of spoons are full, pour 7 taels of spoons until full, then 4 taels of 11 taels of spoons are left, 7 taels of spoons are emptied, and the remaining 4 taels of 11 taels of spoons are poured into 7 taels of spoons, then 7 taels of spoons are less than 3 taels).

11-3=8 (11 taels are filled in two spoons, pour into 7 taels of spoons containing 4 taels, then 8 taels are left in 11 taels, empty 7 taels).

8-7=1 (pour the remaining 8 taels in 11 taels into 7 taels until full, then 1 tael in 11 taels of spoons, empty 7 taels of spoons, and pour the remaining 1 tael in 11 taels into 7 taels of spoons).

11-6=5 (11 taels are filled with two spoons, pour into the 7 taels of spoons containing 1 tael until full, then 5 taels are left in 11 taels, empty 7 taels of spoons, and pour the remaining 5 taels of 11 taels into 7 taels of spoons).

11-2 = 9 (11 taels are full, pour in 7 taels of 5 taels until full, then 9 taels are left in 11 taels).

9-7=2 (empty 7 taels of spoons, fill them with 9 taels of 7 taels left in 11 taels of spoons, then 2 taels of 11 taels of spoons are left, and you can take them out and sell them).

For illustrative purposes, a spoon of 11 taels of capacity is called a large spoon, and a spoon of 7 taels of capacity is called a small spoon 1Scoop the wine twice with a small spoon and fill the large spoon with 3 taels of wine left in the small spoon [7+7-11=3].

2.Empty the big spoon, pour the 3 taels of wine over to the big spoon (there are still 8 taels of wine left to full), and then use the small spoon to scoop the wine twice to fill the big spoon, then the small spoon still has 6 taels of wine [7+7-(11-3)=6] left

3.Empty the large spoon, pour the 6 taels of wine over the large spoon (there are still 5 taels of wine left to full), and then use the small spoon to scoop the wine once again to fill the large spoon, then there are still 2 taels of wine left in the small spoon [7-(11-6)=2].

Hit 4 times with a spoon of 11 taels and 6 times with a spoon of 7 taels.

1. Pour (7 taels of wine glasses) first, and then pour out (7 taels of wine glasses) 3 taels (3 taels of wine glasses).

2. Then put 3 taels of wine back (wine bottle), and then give 4 taels of wine in (7 taels of wine glasses) to (3 taels of wine glasses) 3 taels.

3. Pour 3 taels of wine back (wine bottle), and then pour 1 tael of wine (7 taels of wine glasses) to (3 taels of wine glasses).

Fourth, fill (7 taels of wine glasses) from (wine bottles), and finally fill (3 taels of wine glasses) from (7 taels of wine glasses).

Five, (7 taels of glasses) there are only 5 taels left.

Advanced Wine Fun Questions:

There are two bottles of wine, both of which are eight taels. Give a container of three taels. Ask how to divide the four cups equally. That is, each cup is filled with four taels, and the condition is that it cannot be poured out of the stool if it is poured into the cup. Wine can only be turned around in three or two containers and bottles.

Answer: First of all, 4 people are ABCDs, 2 bottles and 1 empty glass are XYZ.

1. x=8, y=5, z=3, give 3 taels of wine to A.

2. x = 8, y = 2, z = 3, give 2 taels of wine to B to drink.

Third, this is more troublesome, now it should be x=8, y=0, z=3, we need to change the wine first:

1. x=8, y=3, and z=0.

2、x=5，y=3，z=3。

3、x=5，y=6，z=0。

4、x=2，y=6，z=3。

5. x=2, y=8, z=1, okay, then give 1 tael of wine to C to drink.

Fourth, the current rapid rise should be, x=2, y=8, z=0, or to switch first:

1、x=2，y=5，z=3。

2、x=7，y=0，z=3。

3、x=7，y=3，z=0。

4、x=4，y=3，z=3。

5、x=4，y=6，z=0。

6. x=1, y=6, z=3, and then give 1 tael of wine to d.

5. Now it becomes x=0, y=6, z=3, continue to transform:

1、x=3，y=6，z=0。

2, x=8, y=1, z=0, give a drink of 1 tael of wine, ok, a has been done.

Sixth, now it is x=8, y=0, z=0, transform x=5, y=0, z=3, give 3 taels to C to drink, and C is done.

7. Now it is x=5, y=0, z=0, transform, x=2, y=0, z=3, give 3 taels to drink, give 2 taels to drink, all separate.

First pour a pound of wine back into a cup of 7 taels, pour 7 taels into a cup of 3 taels, pour 3 taels into a catty of wine and pour it into the remaining 3 taels of a catty of wine, pour 4 taels of 7 taels into 3 taels, 6 taels of lodging into the cup of 7 taels of a tael, so that a pound of wine left in the hall base is 5 taels, success!

Each cask is sold to him in half, 3x1 2+7x1 2=5

You're kidding! First, use 11 taels of spoons for two spoons, use 7 taels of spoons to divide three spoons of 21 taels, and 11 taels of two spoons to get one or two of wine! And so on and so on twice!

OK. Seven taels of cups are filled, and 11 taels of cups are poured from 7 taels of cups, (at this time 11 taels of cups are still 4 taels of space).

7 Two cups are filled again, and 11 taels of cups are poured from 7 two cups, (11 two cups are full, and 7 two cups are left with 3 taels).

Pour back the full 11 taels into the jar, and pour 3 taels of the 7 taels into the 11 taels.

7 two cups are full, pour 7 two cups into 11 two cups, (at this time 11 two cups have 10 taels of wine) 7 two cups are full, from 7 two cups to pour 11 two cups, (at this time 7 two cups of 6 taels) 11 two cups pour back into the jar, 7 the remaining 6 taels of the two cups pour into 11 two cups (at this time 11 two cups have 6 taels of wine, 5 taels of space remaining).

7 two cups are poured full, 7 two cups are poured to 11 two cups, because only 5 taels are left in 11 two cups, so 2 taels are left in 7 two cups.

If there are many rounds, it is counted as 2 theories, and if there are many glasses of wine, it will be gone 6 times.