Question

Два огурца весят столько, сколько четыре помидора, а один помидор – как три морковки. На одной чаше весов лежат 1 огурец и 3 морковки. Сколько помидоров должно лежать на другой чаше весов, чтобы весы были уравновешены?

Answer 1

Четыре помидора должно лежать на другой чаше весов)

Answer 2

Problem Analysis

We are given that two cucumbers weigh the same as four tomatoes, and one tomato weighs the same as three carrots. We also know that on one side of the scale, there is one cucumber and three carrots. We need to determine how many tomatoes should be placed on the other side of the scale to balance it.

Solution

Let's break down the information given: - Two cucumbers weigh the same as four tomatoes. - One tomato weighs the same as three carrots. - On one side of the scale, there is one cucumber and three carrots.

To balance the scale, we need to determine how many tomatoes should be placed on the other side.

Let's assign variables to the unknown quantities: - Let's call the weight of one cucumber "c". - Let's call the weight of one tomato "t". - Let's call the weight of one carrot "k".

From the given information, we can write the following equations: - 2c = 4t (Two cucumbers weigh the same as four tomatoes) - t = 3k (One tomato weighs the same as three carrots)

To find the weight of one cucumber, we can substitute the value of t from the second equation into the first equation: - 2c = 4(3k) - 2c = 12k - c = 6k

Now, let's consider the weights on each side of the scale: - On one side, we have 1 cucumber and 3 carrots, which can be represented as c + 3k. - On the other side, we need to find the weight of the tomatoes, which can be represented as nt, where n is the number of tomatoes.

To balance the scale, we need the weights on both sides to be equal: - c + 3k = nt

Substituting the value of c from earlier: - 6k + 3k = nt - 9k = nt

Since we want to find the number of tomatoes (n), we can divide both sides of the equation by t: - 9k / t = n

Therefore, the number of tomatoes that should be placed on the other side of the scale to balance it is 9k / t.

Now, we need to find the value of k/t to calculate the number of tomatoes.

Calculation

To find the value of k/t, we need to know the weights of carrots and tomatoes. Unfortunately, the search results provided do not contain the specific information needed to calculate the number of tomatoes.

To provide a more accurate answer, we would need the weights of carrots and tomatoes. Without this information, we cannot determine the exact number of tomatoes that should be placed on the other side of the scale to balance it.

If you have any additional information or if there's anything else I can assist you with, please let me know!