
У куховарки було 320кг овочів. Картоплі й моркви разом було 190кг. Моркви і капусти 170кг. Скільки
окремо картоплі. моркви і капусти було в куховарки?

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Calculation of the Quantity of Potatoes, Carrots, and Cabbage
To determine the quantity of potatoes, carrots, and cabbage separately, we can use the given information. Let's break it down step by step:
1. The total weight of vegetables in the kitchen was 320 kg. 2. The combined weight of potatoes and carrots was 190 kg. 3. The weight of carrots and cabbage together was 170 kg.
To find the weight of each vegetable separately, we can set up a system of equations:
Let's assume: - The weight of potatoes = P kg - The weight of carrots = C kg - The weight of cabbage = B kg
Based on the given information, we have the following equations:
Equation 1: P + C = 190 Equation 2: C + B = 170 To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method:
Adding Equation 1 and Equation 2, we get: (P + C) + (C + B) = 190 + 170 P + 2C + B = 360
Since the total weight of vegetables in the kitchen was 320 kg, we have: P + C + B = 320
Now, we can subtract the second equation from the first equation: (P + 2C + B) - (P + C + B) = 360 - 320 C = 40
Substituting the value of C into Equation 1, we can find the value of P: P + 40 = 190 P = 190 - 40 P = 150
Finally, substituting the value of C into Equation 2, we can find the value of B: 40 + B = 170 B = 170 - 40 B = 130
Answer:
Therefore, the kitchen had: - 150 kg of potatoes - 40 kg of carrots - 130 kg of cabbagePlease let me know if there's anything else I can help you with!


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