Question

Срочнооооо на одной яблоне растут только зеленые, а на другой-только красные яблоки ребята собрали все яблоки и увидели что на каждые 4 зеленых яблок приходится 5красных они съели 16 красных и 16 зеленых яблок посчитав оставшиеся увидели что теперь на каждвъые 2 зеленых яблока приходится по 3 красных сколь было первоначально зеленых яблок

Answer 1

Х- зеленые яблоки
У- красные

х/у=4/5
5х=4у
Х=4/5у

(х-16)/(у-16)=2/3
3*(х-16)=2*(у-16)
3х-48=2у-32
Зх-2у=16 Подставляем х

З*(4/5У)-2у=16
12/5у-2у=16
2/5у=16
2у=80
У=40

Х=4/5*40
Х=32

Ответ: было 32 зеленых яблока

Answer 2

Problem Analysis

The problem states that on one apple tree, only green apples grow, while on another tree, only red apples grow. The children collected all the apples and noticed that for every 4 green apples, there were 5 red apples. After eating 16 red apples and 16 green apples, they observed that for every 2 green apples, there were now 3 red apples. The question is how many green apples were there initially.

Solution

Let's assume that the initial number of green apples is x. According to the problem, for every 4 green apples, there are 5 red apples. So, the initial number of red apples would be (5/4)x.

After eating 16 red apples and 16 green apples, the remaining number of green apples is x - 16, and the remaining number of red apples is (5/4)x - 16.

According to the problem, after eating the apples, for every 2 green apples, there are 3 red apples. So, we can set up the following equation:

(x - 16) / 2 = (5/4)x - 16 / 3

Now, let's solve this equation to find the initial number of green apples.

Calculation

(x - 16) / 2 = (5/4)x - 16 / 3

Multiplying both sides of the equation by 12 to eliminate the fractions:

6(x - 16) = 15x - 64

Expanding and simplifying:

6x - 96 = 15x - 64

Rearranging the equation:

9x = 32

Solving for x:

x = 32 / 9

Therefore, the initial number of green apples was 32 / 9.

Answer

The initial number of green apples was 32 / 9.