An elementary problem for those who have been friends with mathematics since childhood

Solving exciting tasks is pleasant at any age. At the same time, this occupation is also a useful warm-up for the mind. What is much better than aimlessly flipping through the feed on social networks. And today's edition. "Site" There are two problems that need to be solved, How much does a bottle weigh?. It's just an empty bottle. Deciding is not as easy as it may seem at first glance.



How much does a bottle weigh?

1. There is a bottle full of juice on the table. Its weight together with the juice is 1000 g. If you fill the bottle with lemonade, it will weigh 1600. Lemonade is twice as heavy as juice. It is necessary to determine how much the bottle weighs under such conditions. Can you decide in your mind?
   
   952000
   
   
   
   
2. The second problem is also about bottles, but it will have to be solved a little differently. Under the condition, the student bought a glass bottle of fruit weighing 800 g. Strongly wanting to drink, the guy drained it exactly halfway. After that, the container with the remaining fruit showed on the scales exactly 480 g. It remains to be seen how much an empty glass bottle weighs.
   
   
   
   
   
   

Solving problems

1. Of course, someone on the move will notice the strangeness, they say that lemonade can not be twice as heavy as juice. But it is much more important for us to solve the problem and its possible solution than to test each condition for compliance with reality. If, under the above-mentioned condition, a bottle of lemonade weighs 1600 g, and a bottle of juice weighs 1000 g, then the weight of the juice itself will be exactly the same as this difference. So 1600 – 1000 = 600 g of juice weighs. Lemonade then weighs 600 * 2 = 1200 g. And the container itself weighs 1600 - 1200 = 400 g.
   
   
   
   
   
   
2. If a full bottle of fruit weighs 800 g, and the empty half weighs 480 g, then this difference will be equal to just half the weight of the fruit itself (excluding containers). In this case, 800 – 480 = 320 g is the weight of half the fruit. Then in a full bottle of fruit 320 * 2 = 640 g. Since we found the weight of the contents, the weight of the container itself will not be difficult to find. Simply 800 – 640 = 160 g.
   
   
   
   
   
   

We hope that solution You enjoyed it. And, of course, we believe that we also managed to find the right answers. If so, then the lessons of the “Queen of all sciences” at school were not in vain. And teachers did not try in vain, trying to teach all the wisdom of mathematics.