Question

Фермер собрал урожай моркови, капусты и картофеля. Моркови было собрано на 14 ц меньше, чем капусты, а картофеля на 9 ц больше, чем капусты. Какой урожай всех корнеплодов собрал фермер, если урожай картофеля составил 54 ц?С решением

Answer 1

54-9=45 (ц.) - капусты
45-14=31 (ц.) - моркови.
54+45+31=130 (ц.) - урожай всех корнеплодов

Answer 2

Problem Analysis

The farmer has harvested carrots, cabbage, and potatoes. The amount of carrots harvested is 14 centners less than the amount of cabbage, and the amount of potatoes is 9 centners more than the amount of cabbage. We need to determine the total harvest of all root vegetables if the potato harvest is 54 centners.

Solution

Let's assume the amount of cabbage harvested is x centners.

According to the problem, the amount of carrots harvested is 14 centners less than the amount of cabbage, so the amount of carrots harvested is x - 14 centners.

Similarly, the amount of potatoes harvested is 9 centners more than the amount of cabbage, so the amount of potatoes harvested is x + 9 centners.

Given that the potato harvest is 54 centners, we can set up the following equation:

x + 9 = 54

Solving this equation will give us the value of x, which represents the amount of cabbage harvested. We can then calculate the total harvest of all root vegetables by adding the amounts of cabbage, carrots, and potatoes.

Calculation

Let's solve the equation:

x + 9 = 54

Subtracting 9 from both sides:

x = 54 - 9

Simplifying:

x = 45

So, the amount of cabbage harvested is 45 centners.

Now, we can calculate the total harvest of all root vegetables:

Total harvest = amount of cabbage + amount of carrots + amount of potatoes

Total harvest = 45 + (45 - 14) + (45 + 9)

Simplifying:

Total harvest = 45 + 31 + 54

Total harvest = 130 centners

Therefore, the farmer harvested a total of 130 centners of root vegetables.

Answer

The farmer harvested a total of 130 centners of root vegetables.