Question

Купили дыню,арбуз и тыкву. Масса этих бахчевых культур, кроме дыни, равнв 11 кг, кроме арбуза-9 кг, кроме тыквы, - 12 кг. Найти массу каждой бахчевой культуры.

Answer 1

арбуз + тыква = 11 кг

дыня + тыква = 9 кг

дыня + арбуз = 12 кг

 

сложим первые 2 и вычтем 3е

арбуз + тыква + дыня + тыква - (дыня + арбуз) = 11+9-12

2 тыквы = 20-12 = 8

тыква = 4 кг

арбуз=11-4=7 кг

дыня=9-4= 5 кг

Answer 2

Calculation of the Mass of Each Cucurbit Crop

To find the mass of each cucurbit crop (melon, watermelon, and pumpkin), we need to solve a system of equations based on the given information.

Let's assign variables to represent the mass of each crop: - Let M represent the mass of the melon (дыня). - Let W represent the mass of the watermelon (арбуз). - Let P represent the mass of the pumpkin (тыква).

According to the given information: - The total mass of the three crops, excluding the melon, is 11 kg: W + P = 11. - The total mass of the three crops, excluding the watermelon, is 9 kg: M + P = 9. - The total mass of the three crops, excluding the pumpkin, is 12 kg: M + W = 12.

To solve this system of equations, we can use substitution or elimination methods. Let's use the elimination method:

1. Multiply the first equation by -1: -W - P = -11. 2. Add the second equation to the third equation: M + P + M + W = 9 + 12. Simplify: 2M + 2W = 21. 3. Divide the equation by 2: M + W = 10.5.

Now we have two equations: - M + W = 10.5. - M + W = 12.

Subtract the first equation from the second equation: - M + W - (M + W) = 12 - 10.5. - 0 = 1.5.

The result is an inconsistent equation, which means there is no solution that satisfies all three given conditions. Therefore, the given information is contradictory, and we cannot determine the mass of each cucurbit crop based on the provided data.

Please note that the given information may contain errors or inconsistencies. If you have any additional information or clarification, I would be happy to assist you further.