Question

На одном участке было в 5 раз больше саженцев чем на втором, после того как у первого участка увезли 50 саженцев а на второй привезли ещё 90 на обоих полях стало поровну.сколько саженцев было изначально у обоих полей?

Answer 1

Ответ:35 на втором, 175 на первом

Объяснение: пусть х изначальное количество саженцев на втором участке, тогда 5х количество саженцев на первом, тогда

5х-50=х+90

4х=140

Х= 35(саженцев на первом участке)

Answer 2

Problem Analysis

We have two fields, one with 5 times more seedlings than the other. After 50 seedlings were taken from the first field and 90 seedlings were added to the second field, the number of seedlings became equal in both fields. We need to determine the initial number of seedlings in both fields.

Solution

Let's assume the initial number of seedlings in the first field is x. Since the second field has 5 times fewer seedlings, the initial number of seedlings in the second field is x/5.

After 50 seedlings were taken from the first field, the number of seedlings in the first field becomes x - 50. After 90 seedlings were added to the second field, the number of seedlings in the second field becomes (x/5) + 90.

According to the problem, the number of seedlings became equal in both fields. Therefore, we can set up the following equation:

(x - 50) = (x/5) + 90

Now, let's solve this equation to find the value of x.

Solving the Equation

To solve the equation, we can start by simplifying it:

x - 50 = (x/5) + 90

Multiply both sides of the equation by 5 to eliminate the fraction:

5(x - 50) = 5(x/5) + 5(90)

Simplifying further:

5x - 250 = x + 450

Move the x term to one side and the constant terms to the other side:

5x - x = 450 + 250

Simplifying:

4x = 700

Divide both sides of the equation by 4 to solve for x:

x = 700/4

Simplifying further:

x = 175

Therefore, the initial number of seedlings in the first field is 175.

Since the second field has 5 times fewer seedlings, the initial number of seedlings in the second field is 175/5 = 35.

Answer

The initial number of seedlings in the first field was 175, and the initial number of seedlings in the second field was 35.