Question

В детский сад завезли 143 кг овощей. Из них 98 кг составляли картофель и морковь, а остальное – капуста, причём капусты было на 14 кг больше, чем моркови. Сколько было завезено кг картофеля?

Answer 1

Пусть х-всего кг овощей. тогда картофель составляет 7/15х, морковь составляет 9/14*(х-7/15х) , свекла 40 кг. составляем систему:
7/15х+9/14*(х-7/15х) +40=х
откуда 7/15х+72/210х+40=х
170/210х+40=х
-40/210х=-40
получаем х=210
картофеля было 210*7/15=98 кг
моркови было 72 кг, остальные 40 кг свекла

Answer 2

143-98=45 капуста 
45-14=31 морковь 
98-31=67 картошка

Answer 3

Problem Analysis

We are given that 143 kg of vegetables were delivered to a kindergarten. Out of these, 98 kg were potatoes and carrots, and the rest was cabbage. Additionally, the weight of cabbage was 14 kg more than the weight of carrots. We need to determine the weight of potatoes that were delivered.

Solution

Let's assume the weight of carrots is x kg. According to the problem, the weight of cabbage is 14 kg more than the weight of carrots. Therefore, the weight of cabbage is x + 14 kg.

We know that the weight of potatoes and carrots combined is 98 kg. So we can write the equation:

x + (x + 14) = 98

Simplifying the equation:

2x + 14 = 98

Subtracting 14 from both sides:

2x = 84

Dividing both sides by 2:

x = 42

Therefore, the weight of carrots is 42 kg. Since the weight of potatoes and carrots combined is 98 kg, the weight of potatoes is:

98 - 42 = 56 kg.

Answer

The weight of potatoes that was delivered to the kindergarten is 56 kg.