The problem about the juice

The problem about the juice. Mathematics For Blondes
The problem about the juice
 On the Internet there are a lot of things. Yesterday I saw an interesting problem about the juice. I understand that the person made a mistake copying the text of the problem from the book. But it turned out very interesting. I used to see all over the math, just as I am translating the language of mathematics to the surrounding reality. That's how I read this problem and this is the decision I did.

A liter of grape juice is worth 6 manat. It was mixed with a liter of mulberry juice manat. A liter of juice sold for 10 manats. What benefits can be obtained from the sale of 10 liters of the mixed juice?

For those other than dollars knows nothing, to announce that manat - is the monetary unit of Azerbaijan (there is such a country). By the way, Muslims do not eat pork, mathematicians so do not use math-degree measure of angles in Calculus. As they say, find ten differences. It was the information for the overall development, but will return to the problem about the juice.

The number in the value of mulberry juice available. The man forgot to write. But mulberry juice can be stolen. Then it really does not cost anything. Such "schemes" are thriving in our lives. The lack of numbers in mathematics to denote the numeral zero. If we substitute the value of zero in mulberry juice, then the problem is easily solved.

For a start, we determine the number of cocktail, which is obtained by mixing two different juices. Each juice we take in the amount of one liter. If you do not like liters, take one gallon.

1 + 1 = 2 liters

Now we consider the cost of the resulting cocktail

6 + 0 = 6 manats

Calculate the cost per liter of cocktail

6: 2 = 3 manats

Who is the most interesting point - we determine the profit from the sale of a liter of cocktail

10 - 3 = 7 manats

At the end of the general view of the profits from this scam

10 * 7 = 70 manats


1. With revenues of these scams is not to compare, but enough to start.
2. The juice can be diluted with water, then stealing nothing.


1. For the theft could be imprisoned.
2. For juice dilution with water can beat face.

If in the problem still listed price for mulberry juice, instead of the zero substitute that number. The solution of the problem will not change. Incidentally, the legal business from the business of the criminal also a little different.

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