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Interesting mathematical chocolate problem
1. The original storage capacity of the first reservoir is certain, and the river water is evenly put into storage every day. Five pumps can continuously drain water for 20 days; Six identical pumps can continuously drain water 15 days. If drainage is needed for 6 days, how many identical pumps are needed?

Answer: How many pumps can pump 1 day with the raw water from the reservoir and the incoming water for 20 days? 20×5= 100 (unit).

How many pumps can be pumped 1 day with the original water of the reservoir and the water flowing 15 days? 6× 15=90 (unit).

How many pumps can pump 1 day with the inflow of water every day?

(100-90)/(20-15) = 2 (Taiwan Province).

1 day of raw water can supply how many pumps?

100-20×2=60 (unit).

How many pumps do you need to finish pumping in 6 days?

60 ÷ 6+2 = 12 (Taiwan Province). Answer: If it is pumped out in 6 days, * * * needs 12 pumps.

There are five children, and each child randomly draws three pieces from a bag with many black and white Go pieces. Please prove that at least two of the five children have the same color matching.

Answer: First of all, it is necessary to determine how many different colors the three pieces can have, including: 3 black, 2 black, 1 white, 1 black, 2 white, 3 white * * as four drawers. Take each person's three pieces as a group as an apple, so * * * has five apples. Take everyone's three pieces as their own.

3. As shown in the picture, a gecko wants to climb from point A on one wall to point B on the adjacent wall β to catch moths. It can be reached along multiple paths, but which is the shortest path?

Answer: Let's assume that the wall β with point B rotates 90 degrees clockwise (as shown below) so that it is on the same plane as the wall α with point A. At this time, the position of turning β is recorded as β' and the position of point B is recorded as B', so the shortest route between a and B' should be the line segment AB'. If this line segment intersects the wall edge line at point P, then the dotted line 4PB is from point A along two walls to point B..

Party A, Party B and Party C each have a number of chocolate beans, which are required to be given to each other. First, Party A distributes beans to Party B and Party C, and the number of beans distributed by Party A to Party B and Party C is equal to the original number of beans per person. In the same way, Party B distributes it to Party A and Party C, and the number of beans given is equal to everyone's. Finally, Party C gives it to Party A and Party B in turn, and the number of beans given is equal to Party A's.

Answer:

A: The original chocolate beans of A, B and C are 52, 28 and 16 respectively.

5. A milk seller told two pupils: Here, one steel bucket holds water, and the other steel bucket holds milk, because milk has high fat content and must be diluted with water. Now I pour the liquid from barrel A into barrel B, and the liquid volume is doubled. Then I pour the liquid from barrel B into barrel A, and the liquid volume of barrel A is doubled. Finally, I pour the liquid from barrel A into barrel B, and the liquid volume of barrel B is doubled. At this time, I find that the two barrels have the same amount of liquid, but in barrel B, the water is more than milk 1 liter. Now I want to ask you, how much water and milk were there in each bucket at the beginning, and how much water and milk were there in each bucket at the end?

Answer:

6. Aunt Li raises chickens in the east yard and the west yard respectively. It is known that the East Hospital has raised 40 chickens; At present, 1/4 of the total number of chickens raised in the west yard is sold to shops, and 1/3 is sold to processing plants. Then, the sum of the remaining chickens and all the chickens in the East Hospital is exactly equal to 50% of the total number of chickens raised in the East and West Hospitals. How many chickens are raised in the East and West Hospital?

Answer:

Sorry, my pictures are not allowed to be uploaded! Please tell me your email address, and I will send pictures! In addition, I only found six questions, so use them if you can! Apologize deeply! ! !