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The Water Jug Challenge : Puzzle

- July 31, 2020

You've got a 4 liter jug and a 9 liter jug.

You've got a pool of water.

What is the fewest number of steps it takes to come up with exactly 6 liters of water?

No, you cannot pour some water into the 9 liter jug and then guess. Nor can you fill each jug up half way or something. You have to be exact. A step is defined as putting water into a jug (not emptying). For instance, filling the 4 liter jug and then pouring it into the 9 liter jug is 2 steps.

Click here for SOLUTION!

The Water Jug Challenge Puzzle : Solution

- July 31, 2020

What was the puzzle?

We've got a 4 liter jug and a 9 liter jug.

We've got a pool of water.

We have to find fewest number of steps it takes to come up with exactly 6 liters of water.

STEPS :

1. Fill up the 9 liter jug from the pool.         9L - 9 4L - 0

2. Fill up the 4 liter jug from the 9 liter jug. 9L - 5 4L - 4

3. Empty the 4 liter jug into the pool.          9L - 5 4L - 0

4. Fill 4 liter jug again from the 9 liter jug.   9L - 1 4L - 4

5. Empty the 4 liter jug into the pool           9L - 1 4L - 0

6. Transfer 1 liter left 9L jug into the 4L. 9L - 0 4L - 1

7. Fill the 9 liter jug from the pool.             9L - 9 4L - 1

8. Fill up the 4 liter jug from the 9 liter jug. 9L - 6 4L - 4

That's how we have exactly 6 liters of water in 9 liters jug.

The Water Jug Challenge Puzzle : Solution

A Mathematical Buy!

- February 17, 2018

In a classic wine shop in Flobecq, Belgium, list of three most popular wines are:

- The cost of 1 French wine bottle: 500$
- The cost of 1 German wine bottle: 100$
- The cost of 20 Dutch wine bottles: 100$

Homer Simpson entered the wine shop and he needs to buy

- All three types of wine shop.
- Needs to buy Dutch wine bottles in multiple of 20.
- Need to buy 100 wine bottles

Simpson has only 10000$. How many wine bottle(s) of each type, Simpson must buy?

Simpson must buy.......Read More....

Source

A Buy To Be Mathematical...

- February 17, 2018

What was needed to buy?

Let's recollect the data where cost of each kind of wine bottle is listed.

- The cost of 1 French wine bottle: 500$
- The cost of 1 German wine bottle: 100$
- The cost of 20 Dutch wine bottles: 100$ (Cost of 1 bottle = 5$)

Now let F be the number of French bottle, G be the number of German bottles and D be the number of Dutch bottle that Simpson should buy.

F + G + D = 100

G = 100 - F - D .....(1)

Total cost of all bottle must be $10000.

500F + 100G + 5D = 10000

Substituting (1) in above,

500F + 100(100 - F - D) + 5D = 10000

500F + 10000 - 100F - 100D + 5D = 10000

400F - 95D = 0

400F = 95D

80F = 19D

D/F = 80/19

Possible values of D and F are 80 and 19 respectively.

From (1),

G = 100 - 19 - 80 = 1.

Let's verify if all these fits in his budget or not.

19 French wine bottles would cost 19 x 500 = 9500, 1 German wine would cost = 1 x 100 = 100 and 80 Dutch wine bottles would cost 80 x 5 = 400. Remember we have got number of Dutch bottles in multiple of 20. Hence total cost = 9500 + 100 + 400 = 10000.

Hence with $10000, Simpson should buy 19 French, 1 German and 80 Dutch wine bottles if conditions of buying 100 bottles & Dutch bottles in multiple of 20 are applied.