Question

На двух участках посадили деревья: на одном участке 18 одинаковых рядов, на другом 14 таких же рядов. Всего посадили 1152 дерева. Сколько деревьев посадили на каждом участке?

Answer 1

18+14=32-всего рядов посадили
1152:32=36-деревьев в одном ряду
18*36=648-посадили на 1 участке
14*36=504-посадили на 2 участке

Answer 2

Problem Analysis

We are given two plots of land where trees have been planted. One plot has 18 rows of trees, while the other plot has 14 rows of trees. The total number of trees planted is 1152. We need to determine how many trees were planted on each plot.

Solution

Let's assume the number of trees planted in each row of the first plot is x, and the number of trees planted in each row of the second plot is y.

We know that there are 18 rows in the first plot and 14 rows in the second plot. Therefore, the total number of trees planted in the first plot is 18 * x, and the total number of trees planted in the second plot is 14 * y.

According to the problem, the total number of trees planted on both plots is 1152. Therefore, we can write the following equation:

18 * x + 14 * y = 1152

To solve this equation, we can use various methods such as substitution, elimination, or matrices. Let's use the substitution method.

From the equation above, we can isolate one variable and express it in terms of the other variable. Let's solve for x:

18 * x = 1152 - 14 * y

Dividing both sides by 18:

x = (1152 - 14 * y) / 18

Now we can substitute this expression for x into the equation 18 * x + 14 * y = 1152:

18 * ((1152 - 14 * y) / 18) + 14 * y = 1152

Simplifying the equation:

1152 - 14 * y + 14 * y = 1152

The y terms cancel out, leaving us with:

1152 = 1152

This equation is true for any value of y. Therefore, there are infinitely many solutions to this problem. We can choose any value for y and calculate the corresponding value for x.

Let's choose a value for y and calculate the corresponding value for x.

For example, let's choose y = 0. Substituting this value into the equation x = (1152 - 14 * y) / 18, we get:

x = (1152 - 14 * 0) / 18 = 1152 / 18 = 64

Therefore, if we plant 64 trees in each row of the first plot and 0 trees in each row of the second plot, the total number of trees planted on both plots will be 1152.

In summary, the number of trees planted on each plot depends on the chosen values for x and y. There are infinitely many possible solutions to this problem.

Note: The solution provided above assumes that the number of trees planted in each row is an integer. If the number of trees planted in each row can be a decimal or fraction, the solution will be different.