Question

На пришкольном дворе было собрано 360 кг. овощей. Картофеля было собрано в 5 раз больше чем свеклы , а капусты на 80 больше чем свеклы Сколько всего кг каждого овоща собрано

Answer 1

Всего-360
Картофель-в 5 раз больше, чем Свеклы
Свёкла-?
Капуста-на 80 больше,чем Свёкла
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Картофель-5Х
Свёкла-Х
Капуста-Х+80
Каждого овоща-?
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Решение:
1)Составим Уравнение.
5Х+Х+Х+80=360.
7Х+80=360
7Х=360-80=280
Х=280:7=40
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Свёкла-40
Картофель-5•40=200
Капуста-40+80=120

Answer 2

Карт = 5*св =200
кап = св + 80 = 120
св =40

св + 5св + св +80 = 360
7св +80 = 360
7св = 360-80
7св = 280
св = 40

Answer 3

Calculation of Vegetable Quantities

To calculate the quantities of each vegetable, let's assign variables to represent the quantities of potatoes, beets, and cabbage.

Let: - P be the quantity of potatoes - B be the quantity of beets - C be the quantity of cabbage

From the given information, we can establish the following relationships:

1. The quantity of potatoes is 5 times greater than the quantity of beets: P = 5B. 2. The quantity of cabbage is 80 kg more than the quantity of beets: C = B + 80.

We also know that the total weight of all the vegetables is 360 kg, so:

P + B + C = 360

Now, let's solve the system of equations to find the values of P, B, and C.

Substituting the first equation into the third equation, we get:

(5B) + B + (B + 80) = 360

Simplifying the equation:

7B + 80 = 360

Subtracting 80 from both sides:

7B = 280

Dividing both sides by 7:

B = 40

Substituting the value of B back into the first equation, we find:

P = 5(40) = 200

Substituting the value of B into the second equation, we find:

C = 40 + 80 = 120

Therefore, the quantities of each vegetable are as follows: - Potatoes: 200 kg - Beets: 40 kg - Cabbage: 120 kg