Question

7) На овощной базе были картофель, капуста и морковь, всего 3600 кг. Картофеля было втрое больше, чем капусты, а моркови в 6 раз меньше, чем картофеля. Сколько на овощной базе было отдельно картофеля, капусты и моркови? Заранее спасибо. ​

Answer 1

М. - 1ч.
Кар. - 6ч.
Кап. - 2ч.
1). 3600:(1+6+2)=400(кг) - одна часть.
2). 400*1=400(кг) - морковь.
3). 400*6=2400(кг) - картофель.
4). 400*2=800(кг) - капуста.
Ответ: картофель - 2400 кг, капуста - 800 кг, морковь - 400 кг.

Answer 2

Problem Analysis

We are given the total weight of three vegetables (potatoes, cabbage, and carrots) on a vegetable base, which is 3600 kg. We are also given the following information: - The weight of potatoes is three times the weight of cabbage. - The weight of carrots is six times less than the weight of potatoes.

We need to determine the individual weights of potatoes, cabbage, and carrots on the vegetable base.

Solution

Let's assume the weight of cabbage is x kg. According to the given information: - The weight of potatoes is three times the weight of cabbage, so the weight of potatoes is 3x kg. - The weight of carrots is six times less than the weight of potatoes, so the weight of carrots is (3x - 6x) kg, which simplifies to -3x kg.

To find the individual weights of potatoes, cabbage, and carrots, we can set up the following equation:

x + 3x + (-3x) = 3600

Simplifying the equation:

x + 3x - 3x = 3600

x = 3600

Therefore, the weight of cabbage is 3600 kg.

To find the weights of potatoes and carrots, we can substitute the value of x back into the equations:

- The weight of potatoes = 3x = 3 * 3600 = 10800 kg. - The weight of carrots = -3x = -3 * 3600 = -10800 kg.

However, since the weight of carrots cannot be negative, we can conclude that there were no carrots on the vegetable base.

Answer

Based on the given information, the weights of the vegetables on the vegetable base are as follows: - The weight of potatoes is 10800 kg. - The weight of cabbage is 3600 kg. - There were no carrots on the vegetable base.

Please let me know if you need any further clarification.