Question

в большой коробке в 2 раза больше вафель чем в маленькой.половину всех вафель из большой коробки пеппи переложила в маленькую.во сколько раз в маленькой коробке стало больше вафель чем в большой?во сколько раз в маленькой коробке стало бы меньше вафель чем в большой если бы пеппи переложила из неё половину вафель в большую коробку?

Answer 1

Если в б.коробке вафель в 2 раза больше, чем в маленькой, то в маленькой х вафель, в большой 2х вафель. Половина вафель из большой коробки = 2х/2 = х.
Переложив эту половину (х) избольшой коробки в маленькую, где тоже х вафель, получим 2х, следственно вафель стало в 2 раза больше, чем было, и стало в 2 раза больше, чем в большой, т.к. там осталась только вторая половина (х) вафель.

Если считать, что половина вафель в маленкой коробке = 0,5 х , то в большой стало бы 2х+0,5х=2,5х вафель, а в маленькой 0,5х. Следственно в маленкой коробке осталось бы вафель в 5 раз меньше, чем в большой.

Answer 2

Problem Analysis

We are given that there are twice as many waffles in a large box as there are in a small box. Then, half of all the waffles from the large box are transferred to the small box. We need to determine how many times more waffles there are in the small box compared to the large box after the transfer. Additionally, we need to find out how many times fewer waffles there would be in the small box compared to the large box if half of the waffles from the small box were transferred back to the large box.

Solution

Let's assume there are x waffles in the small box. According to the given information, there are twice as many waffles in the large box, so there must be 2x waffles in the large box.

After transferring half of the waffles from the large box to the small box, the small box will have x + (1/2)(2x) = 2x waffles. The large box will have 2x - (1/2)(2x) = x waffles.

To find out how many times more waffles there are in the small box compared to the large box, we can divide the number of waffles in the small box by the number of waffles in the large box:

2x / x = 2

Therefore, there are 2 times more waffles in the small box compared to the large box after the transfer.

Now, let's consider the second scenario where half of the waffles from the small box are transferred back to the large box. Initially, the small box has x waffles and the large box has x waffles.

After transferring half of the waffles from the small box to the large box, the small box will have x - (1/2)x = (1/2)x waffles. The large box will have x + (1/2)x = (3/2)x waffles.

To find out how many times fewer waffles there are in the small box compared to the large box, we can divide the number of waffles in the small box by the number of waffles in the large box:

((1/2)x) / ((3/2)x) = 1/3

Therefore, there would be 1/3 times fewer waffles in the small box compared to the large box if half of the waffles from the small box were transferred back to the large box.

In summary: - After transferring half of the waffles from the large box to the small box, there are 2 times more waffles in the small box compared to the large box. - If half of the waffles from the small box were transferred back to the large box, there would be 1/3 times fewer waffles in the small box compared to the large box.

Please let me know if anything is unclear or if you have any further questions!