Question

Помогите пожалуйста!) Заранее спасибо! (С Пусть х..) В двух упаковках лежало 84 апельсина. Когда из первой упаковки переложили во вторую 15 апельсинов, то во второй упаковке апельсинов оказалось в 3 раза больше, чем в первой. Сколько апельсинов было в каждой упаковке до перекладывания?

Answer 1

Х - кол-во апельсинов в 1 упаковке
3х - во 2
тогда 84 = 4х
х=21
21 апельсин после перекладывания в 1 упаковке
" из первой упаковки переложили во вторую 15 апельсинов"
значит в 1 было 21 +15 = 36
а во 2     63-15= 48
ответ: 36, 48

Answer 2

Problem Analysis

We are given that there were 84 oranges in two packages. When 15 oranges were transferred from the first package to the second, the second package ended up with three times as many oranges as the first package. We need to determine how many oranges were in each package before the transfer.

Solution

Let's assume that there were x oranges in the first package and y oranges in the second package before the transfer.

According to the given information, we have the following equations:

1. The total number of oranges in both packages is 84: - x + y = 84

2. After transferring 15 oranges from the first package to the second, the second package has three times as many oranges as the first package: - (x - 15) = 3(y + 15)

We can solve this system of equations to find the values of x and y.

Solving the Equations

Let's solve the system of equations using the substitution method:

From equation 1, we have: x = 84 - y

Substituting this value of x into equation 2, we get: (84 - y - 15) = 3(y + 15)

Simplifying the equation: 69 - y = 3y + 45

Bringing all the terms involving y to one side: 4y = 69 - 45

Simplifying further: 4y = 24

Dividing both sides by 4: y = 6

Substituting the value of y back into equation 1, we get: x + 6 = 84

Simplifying the equation: x = 78

Answer

Therefore, there were 78 oranges in the first package and 6 oranges in the second package before the transfer.