Question

В саду яблонь было в 3 раза больше чем слив. После того как 14 яблонь вырубили и посадили 10 слив, деревьев обоих видов в саду стало поровну. Сколько яблонь и сколько слив было в саду первоначально?

Answer 1

1) 14+10=24 (д) разница в кол-ве деревьев
2) 3-1=2(ч) разница в частях- 
3) 24:2=12 (д) приходится на одну часть, значит, столько было слив
4) 12*3=36 (д) столько было яблонь.
Ответ: было 36 яблонь и 12 слив

Answer 2

Problem Analysis

We are given that there were three times as many apple trees as plum trees in a garden. After 14 apple trees were cut down and 10 plum trees were planted, the number of both types of trees became equal. We need to determine the initial number of apple trees and plum trees in the garden.

Solution

Let's assume the initial number of plum trees in the garden is x. According to the given information, the number of apple trees in the garden is three times the number of plum trees, so the initial number of apple trees is 3x.

After 14 apple trees were cut down, the number of apple trees became 3x - 14. Similarly, after 10 plum trees were planted, the number of plum trees became x + 10.

According to the problem, the number of apple trees and plum trees became equal after these changes. Therefore, we can set up the following equation:

3x - 14 = x + 10

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

3x - x = 10 + 14

2x = 24

x = 12

So, the initial number of plum trees in the garden was 12, and the initial number of apple trees was 3x = 3 * 12 = 36.

Therefore, there were initially 36 apple trees and 12 plum trees in the garden.

Answer

The initial number of apple trees in the garden was 36, and the initial number of plum trees was 12.