Solving the math puzzle, I drank one sixth of a glass of juice, then filled up with water and drank

The question should be this.

Obviously drank 1/6 of a glass of juice, filled up with water, drank 1/3 of another glass, and drank half of it after filling up with water. I filled it with water and drank it whole. Ask: Do you drink more water or juice?

Answer: Analyze the juice you drink:

From the beginning to the end, a glass of juice is drunk with water, and the juice is not reduced or added, so the juice drunk is a whole glass;

Analysis of the water drunk:

When you add water for the first time, the cup has space of 1 6 and can only add 1 6 cups of water, when you add water for the second time, the cup has space for 1 3 and can only add 1 3 cups of water, and when you add water for the third time, the cup has space of 1 2 and can only add 1 2 cups of water.

In the end, I drank it and only added water three times.

Three times the water adds: 1 6 + 1 3 + 1 2 = 1;

So the water to drink is also 1 cup.

So obviously drink as much juice as water, it's all a glass.

There is an ambiguity in the question "How much water and juice are each known" - does it mean what was drunk, or what was left, or was it in the total?

If you mean the total, think of it like this:

There is a glass of juice at the beginning, and no juice is added in between, so there is a total of 1 glass of juice.

1 2 + 1 2 = 1 (cup).

I added water twice (half a cup each) halfway through, so there was a total of 1 cup of water in one pairing.

So, the total amount of juice and water is 1 cup each.

Look at the drink again:

The first time I drank 1 2 cups of juice without drinking water;

The second time (1 2 cups of juice and water in the starting cup), 1 2 1 2 = 1 4 (cups), 1 4 cups of juice and water drunk (1 4 cups of juice and water for the remainder).

1 4 + 1 2 = 3 4 (cups), 1 4 1 4 = 1 16 (cups), 3 4 1 4 = 3 16 (cups), the third (1 4 cups of juice and 3 4 cups of water in the first cup), 1 16 cups of juice and 3 16 cups of water drunk.

1 2 + 1 4 + 1 16 = 13 16 (cups), 0 + 1 4 + 3 16 = 7 16 (cups), a total of 13 16 cups of juice for three drinks, and a total of 7 16 cups of water for drinking.

Finally, look at the rest:

1-13 16 = 3 16 (cups), 1-7 16 = 9 16 (cups), and finally the remaining juice has 3 16 cups and water has 9 16 cups.

For the first time. Drink juice 1 2, water 0, and add water to the juice 1 2, water nucleus 1 2.

Second. Drink juice 1 4, water 1 4, add water and leave juice 1 4, water 3 4.

The third time. Drink juice 1 16, water 3 Hu Yunyu 16.

Drink juice 1 2 + 1 4 + 1 16 = 13 16 drink water 1 4 + 3 16 = 7 16

Set the volume of a cup to be 1, obviously drink a glass of juice in half and then fill it with water; I drank another half of a cup of Rapid Mill, and then I drank 1 4 cups of juice and 1 4 cups of water, and there were 1 4 cups of juice and 1 4 cups of water left in the cup; Fill up with water; After drinking all the purest buckets, I drank 1 4 cups of juice and 3 4 cups of water, and drank a total of juice in the whole process: 1 2 + 1

Let's calculate how many things he drank and talked about when he let him destroy the total, first drank one-half, then drank one-half, and then drank one glass, so Han Slippery Zheng drank a total of two glasses of things, a total of one cup of juice, and what about the water, so it was the same.

Let's figure out how much he drank. First, he drank half of it, and then half of it. Wang Wuwu then he took a drink. So, he drank two glasses of something. Only a glass of juice, sleepy or tangerine is the same.

Juice: first sip, 1 5

Second bite (1-1 5) 2=2 5

Third bite (1-1 5-2 5) 2=1 5

I drank a total of 1 5 + 2 5 + 1 5 = 4 5 cups.

Water. First bite, 0

Second mouthful, 1 5 2 = 1 10

The third mouth refers to the world, [(1 5 2)+1 2] 2=3 Lack of tease 10 is 0+1 10+3 10'=4 10=2 5

The first time I drank 1 5 cups of juice, the second time I drank juice (1-1 5) 1 2 2 5 cups, and the third time I drank juice (1-1 5-2 5) 1 2 1 5 cups.

Drink a total of 1 5 2 5 1 5 4 5 cups of juice three times.

The second drink of water 1 5 1 2 1 10 cups, the third drink of water (1 5-1 10 1 2) 1 2 3 10 cups.

Drink a total of water: 1 10 3 10 ants and dig 2 5 cups.

Summary. Obviously, I drink as much juice as water.

A glass of juice was obviously drunk first in half a cup, then filled with water, drank another half of a cup, and then filled up with water, and finally drank it all, obviously drinking a lot of juice.

Obviously, I drink as much juice as water.

Because the first time I drank 1 2 cups of water, it means that I dropped 1 2 cups of water, and the second time I drank 1 2 cups of water, and I filled up with water, which means that the second time I added 1 2 cups of water, and I added a total of 1 2 + 1 2 = 1 cups of water twice, and the juice was originally only one cup of Susui, and finally I drank all of them, so the juice and water were each drunk, so they were equal.

Obviously I drank 1/6 of a glass of juice, filled it with water, drank 1/3 of another glass, and drank half of it after filling it with water. I filled it with water and drank it whole. Ask: Do you drink more water or juice?

Answer: Analyze the juice of the sweater:

From the beginning to the end, a glass of juice is drunk with water, and the juice is not reduced or added, so the juice drunk is a whole glass;

Analysis of the water drunk:

When adding water for the first time, the cup has space of 1 6 and can only add 1 6 cups of water, when adding water for the second time, the cup or which hand has space of 1 3 can only add 1 3 cups of water, and when adding water for the third time, the cup has space of 1 2 and can only add 1 2 cups of water.

In the end, I drank it and only added water three times.

Three times the water adds: 1 6 + 1 3 + 1 2 = 1;

So the water to drink is also 1 cup.

So obviously the juice and water I drink are a glass.