30 becomes 29 math problems

I'm going to make it simple, let's use a few formulas.

1.The owner's discounted price (25) + the money the waiter hid (2) = the total cost of the traveler (27).

2.Passenger's original cost (30) = discounted fare (25) + store owner's return money (5).

3.Passenger's original cost (30) = Passenger's current total cost (27) + Passenger's last refund (3).

4.The refund money received by the traveler (3) + the money hidden by the waiter (2) = the return money of the store owner (5).

5.That is to say, in the end, the amount of money spent by the three passengers includes the part that was hidden by the waiter, so if you ask for the total amount, it is not the money hidden by the waiter, but the refund of the 3 yuan that the passenger received at the end.

So, it's just a trap of logical deviation, and the money didn't fly away from beginning to end!

They each paid 9 yuan, which was 27 yuan. Refund them 1 yuan each. So the total amount of money should be 9 yuan per person for 3 people, 3 x 9 = 27 yuan + 1 yuan per person for the 3 people who returned to them, 3 x 1 = 30 is exact!

What makes the problem extremely tangled is "There is still a dollar ** gone?" "This problem, first 10 + 10 + 10 = 25 + 3 + 2 10 yuan per passenger, the boss 25 yuan, the waiter 2 yuan, and the refund of 3 yuan to the passenger, the result is.

9 yuan per passenger, 25 yuan for the boss, and 2 yuan for the waiter, so the 2 yuan for the waiter is from the 27 yuan for the traveler, and 3 yuan is on the traveler.

It cost a total of 27, of which 25 were for accommodation, and the waiter took 2 for himself

3*9 is used to confuse other people's thinking.

There are 3 people to stay, 30 yuan a night. The three of them each paid 10 yuan, and 30 yuan was handed over to the boss. Later, the boss said that today's discount was only 25 yuan, and took out 5 yuan and ordered the waiter to return it to them, and the waiter secretly hid 2 yuan, and then divided the remaining 3 yuan to the three people, each of whom received 1 yuan.

In this way, at the beginning, each person paid 10 yuan, and now it is returned 1 yuan, that is, 10-1 = 9, and each person only has 9 yuan, 9 yuan per person for 3 people, 3 x 9 = 27 yuan + 2 yuan hidden by the waiter = 29 yuan And one yuan to go**?

The 2 yuan hidden by the waiter included three people's.

I've seen this question many times, but it's actually confusing the two calculation paths. Calculation method 1: From the boss's point of view, the 30 yuan, 25 yuan are left by himself, 2 yuan is in the waiter, and 3 yuan is returned to three people, the total is 30 yuan; Calculation method 2:

From the three people, the 30 yuan, 25 yuan in the boss, 2 yuan in the waiter, 3 yuan back, the total is 30 yuan, so there is no problem. But this topic, in fact, the discussion has nothing to do with the 30 yuan from those two angles, and the calculation method should be: the actual three people paid a total of 27 yuan, of which 25 yuan was in the boss and 2 yuan in the waiter, and the 27 yuan of the three people plus the 2 yuan of the waiter and 30 yuan could not be compared, and the 27 yuan of the three people already included the 2 yuan hidden by the waiter...

This question has been asked many times.

Actually, the reason is very simple.

27+2, it doesn't mean anything, these two numbers can't be added together at all. The reason is very simple, what is 27, is the sum of 25 yuan of the actual room fee and the 2 yuan hidden by the waiter. It already contains 2, and adding 2 doesn't make sense.

Correct calculation: the actual room fee is 25 yuan, and the waiter hides 2 yuan, which is a total of 27 yuan; "The remaining 3 yuan was distributed to the three people, and each person was given 1 yuan", 27 + 3 = 30, which is the money paid by the first three people. In this way, there is no contradiction.

In fact, each person paid 9 yuan, and paid a total of 27 yuan, and of the 27 yuan, 25 yuan in the hands of the boss, and 2 yuan for the waiter.

The way to straighten out the thinking: omit the intermediate process, and clarify "the initial, the guest is 30 yuan", "after the change, the guest is 3 yuan, the old version is 25 yuan, and the waiter is 2 yuan".

This is a very old question, but the algorithm is different.

The real algorithm should be 25 + 2 + 3 * 1 = 30 instead of 3 * 9 + 2 = 29

The boss took 25 yuan, the waiter took 2 yuan, and the three people got 3 yuan, which is 30 yuan.

The boss took 25 yuan and returned 1 yuan per person, and the clerk took 2 yuan privately.

25+3+2=30 That's not bad.

It should be calculated like this: a total of 25 yuan, 3 people are 25 3=。。。 Plus a refund of 1 yuan per person is...

1=。。。And then.. Multiply by 3 people = ...

Plus the clerk's 2 dollars is... That is, 30 yuan, and one dollar is infinitely divided between 25 yuan and 5 yuan.

This is the problem of borrowing and lending in accounting, and in accounting there must be borrowing and borrowing, and borrowing must be equal. Borrow 9 yuan in cash in this place, 3 people, a total of 27 yuan; The accommodation fee is 25 yuan + the clerk charges 2 yuan, a total of 27 yuan.

The accommodation actually cost 25, 3 people paid 27, 2 of which were hidden, these 2 pieces are the 27 that the 3 people paid, 27-2 = 25Where did 30 come from.

Try to change the number of questions??

There are 3 people to stay, 3000 yuan a night. The three of them each paid 1,000 yuan to make up 3,000 yuan and handed it over to the boss.

Later, the boss said that today's discount was only 25 yuan enough, and took out 2975 yuan and ordered the waiter to return it to them, and the waiter secretly hid 2 yuan, and then distributed the remaining 2973 yuan to the three people, each of whom received 991 yuan.

In this way, at the beginning, each person paid 1,000 yuan, and now it is 991 yuan, that is, it only cost 9 yuan per person, 9 yuan per person for 3 people, 3 x 9 = 27 yuan + 2 yuan hidden by the waiter = 29 yuan, and 2,971 yuan went to **???

It cost 9 yuan per person, and now all the money is 27 instead of 30. The boss has 25 in his hand and the waiter has 2 pieces in his hand, 25 + 2 = 27. That is to say, in the end, 2 yuan is included in 27 yuan, and 27 + 2 should not be used, but 27-2, which is exactly the 25 yuan received by the boss.

Twenty-seven yuan is the money spent by three people, and the two dollars are already included, and three dollars should be added.

They each pay 10 yuan first, a total of 30 yuan, but the returned 5 yuan cannot be divided equally among 3 people, so one person takes 1 yuan is 3 yuan, and the 2 yuan stolen by the waiter is 25 + 3 + 2 = 30 yuan! (Push in the order direction, you can get the correct 30 yuan) Push in the reverse direction, there is a difference of one yuan, because this yuan is in the boss!