Question

у мамы было 750 руб .она купила 2 кг огурцов и 1 кг помидоров , потратив 40% всей суммы. найдите цену 1 кг огурцов если известно что они в 2 раза дешевле помидоров .составьте уравнением решите задачу . пожалуйста! !!!!!

Answer 1

Problem Analysis

To solve this problem, we need to find the price per kilogram of cucumbers given that the mother spent 40% of her total amount on 2 kilograms of cucumbers and 1 kilogram of tomatoes. We also know that cucumbers are twice as cheap as tomatoes.

Let's assume the price per kilogram of tomatoes is T. Since cucumbers are twice as cheap as tomatoes, the price per kilogram of cucumbers would be 2T.

We are given that the mother spent 40% of her total amount on cucumbers and tomatoes. Let's assume the total amount is A. Therefore, the amount spent on cucumbers and tomatoes would be 0.4A.

We also know that the mother bought 2 kilograms of cucumbers and 1 kilogram of tomatoes. Therefore, the total cost of cucumbers and tomatoes would be 2 * 2T + 1 * T = 5T.

We can set up the following equation to solve for the price per kilogram of tomatoes (T):

0.4A = 5T

Now, let's solve the equation to find the price per kilogram of tomatoes.

Solution

To find the price per kilogram of tomatoes (T), we need to solve the equation 0.4A = 5T.

Since we don't have the exact values for A and T, we won't be able to find the exact price per kilogram of tomatoes. However, we can solve the equation in terms of T.

Dividing both sides of the equation by 5, we get:

0.4A / 5 = T

Simplifying further, we have:

0.08A = T

Therefore, the price per kilogram of tomatoes is 0.08A.

Since cucumbers are twice as cheap as tomatoes, the price per kilogram of cucumbers would be 2T. Substituting the value of T from the equation above, we get:

Price per kilogram of cucumbers = 2 * 0.08A = 0.16A

So, the price per kilogram of cucumbers is 0.16A.

Please note that we don't have the exact value of A to calculate the exact price per kilogram of cucumbers. However, we can express it in terms of A using the equation above.

I hope this helps! Let me know if you have any further questions.