Question

I need you to give me the result of the following exercise There are two two-liter bottles, one with a liter of wine and the other with a liter of water. Transfer 1/2 of the contents of the water bottle to the wine bottle and mix thoroughly. The mixture from the wine bottle is then returned to the water bottle, so that the two bottles again have 1 liter of liquid each. In which of the two bottles was more water left? How much wine was left in the water bottle?

60

likes
301 views

Answer to a math question I need you to give me the result of the following exercise There are two two-liter bottles, one with a liter of wine and the other with a liter of water. Transfer 1/2 of the contents of the water bottle to the wine bottle and mix thoroughly. The mixture from the wine bottle is then returned to the water bottle, so that the two bottles again have 1 liter of liquid each. In which of the two bottles was more water left? How much wine was left in the water bottle?

Expert avatar
Nash
4.9
87 Answers
This is a classic problem of liquid transfer between two containers. Initially, we have 1 liter of wine in one bottle and 1 liter of water in the other bottle.

Step 1: Transfer 1/2 liter of water to the wine bottle.
Wine bottle: 1 liter of wine + 0.5 liters of water
Water bottle: 0.5 liters of water

Step 2: Mix thoroughly.
The wine bottle now contains a mixture that is 1/3 water and 2/3 wine.

Step 3: Transfer 1/2 liter of the mixture back to the water bottle.
Water transferred in: 1/3 * 0.5 = 1/6 liters
Wine transferred in: 2/3 * 0.5 = 1/3 liters

Final contents in the wine bottle:
- Wine: 2/3 liters
- Water: 1/3 liters

Final contents in the water bottle:
- Water: 0.5 + 1/6 = 2/3 liters
- Wine: 1/3 liters

More water is left in the: water bottle (2/3 liters)

Amount of wine left in the: water bottle (1/3 liters)

Therefore, both bottles end up with equal amounts of 'foreign' liquid.

{Answer:} The water bottle has more water left, 2/3 liters of water, and there is 1/3 liters of wine in the water bottle.

Frequently asked questions (FAQs)
Q: Given a unit vector u = (3/5)i + (4/5)j, find the magnitude of the vector component of v = -i + 3j in the direction of u.
+
Question: Simplify the expression 3x(4x + 7) - 2(2x - 5) using factoring and the distributive property. (
+
What is the formula for the area of a triangle, given the base (b) and height (h)?
+
New questions in Mathematics
Students Ana Beatriz and Paula decided to register on a website with exercises to study for upcoming simulations, but to register on this website, they need to choose a password consisting of five characters, three numbers and two letters (capital letters). or lowercase). Letters and numbers can be in any position. They know that the alphabet is made up of twenty-six letters and that an uppercase letter differs from a lowercase letter in a password. What is the total number of possible passwords for registering on this site?
Use the digits of 1,9,2,3 to come up with all the numbers 98 and 95
Given the vectors: a = (2m – 3n, 4n – m) and b = (2, -3), find the values of m and n that make: a = 5 b.
(6.2x10^3)(3x10^-6)
(3x^(2) 9x 6)/(5x^(2)-20)
Suppose 56% of politicians are lawyers if a random sample of size 564 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportions buy more than 4% round your answer to four decimal places
Equivalent expression of the sequence (3n-4)-(n-2)
Determine the minimum degree that an algebraic equation can assume knowing that it admits 2 as a double root and -i as a triple root
If 0101, what is the binary representation of the 4x16 decoder output?
Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.
The average number of babies born at a hospital is 6 per hour. What is the probability that three babies are born during a particular 1 hour period?
Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}
During a fishing trip Alex notices that the height h of the tide (in metres) is given by h=1βˆ’(1/2)*cos(Ο€t/6) where t is measued in hours from the start of the trip. (a) Enter the exact value of h at the start of the trip in the box below.
Solve the equation: sin(2x) = 0.35 Where 0Β° ≀ x ≀ 360Β°. Give your answers to 1 d.p.
In an orchard there are 360 trees and they are distributed in 9 rows with the same number of trees in each row. 2 are rows of orange trees, 4 of apple trees and the rest are of pear trees. What fraction of the trees in the orchard are of each type of fruit tree? How many trees of each type are there?
prove that for sets SS, AA, BB, and CC, where AA, BB, and CC are subsets of SS, the following equality holds: (Aβˆ’B)βˆ’C=(Aβˆ’C)βˆ’(Bβˆ’C)
Square root of 169 with steps
Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).
3(x-4)=156
An export company grants a bonus of $100,000 pesos to distribute among three of its best employees, so that the first receives double the second and the latter receives triple the third. How much did each person receive?