Question

У першій вазі було у 6 разів більше квіток, ніж у другій. Після того як з першої вази взяли 28 квіток, а з другої 9 квіток , у кожній із стало на 41 квітку менше, ніж у першій. Скільки квіток було у кожній вазі спочатку?

Answer 1

Хц-было во2 вазе,стало х-9ц
6хц-было в 1 вазе,стало 6х-28
(6х-28)-(х-9)=41
6х-х=41-9+28
5х=60
х=60:5
х=12ц было во 2
12*6=72ц было в 1

Answer 2

Problem Analysis

To solve this problem, we can use algebra to represent the given information and then solve for the number of flowers in each vase.

Let's assume: - The number of flowers in the first vase is represented by x. - The number of flowers in the second vase is represented by y.

We are given the following information: 1. The number of flowers in the first vase was 6 times more than in the second vase initially. 2. After taking 28 flowers from the first vase and 9 flowers from the second vase, the number of flowers in each vase became 41 less than the initial number.

Solution

Let's solve the problem step by step.

1. We can represent the given information in the form of equations: - The number of flowers in the first vase was 6 times more than in the second vase initially: - This can be represented as: x = 6y.

2. After taking 28 flowers from the first vase and 9 flowers from the second vase, the number of flowers in each vase became 41 less than the initial number: - This can be represented as: - (x - 28) = (6y - 41) (for the first vase) - (y - 9) = (y - 41) (for the second vase)

3. Now, we can solve these equations to find the values of x and y.

- From the equation x = 6y, we can substitute the value of x in the second equation to solve for y.

- After finding the value of y, we can substitute it back to find the value of x.

Calculation

Let's solve the equations to find the values of x and y.

Substituting the value of x in the second equation: (6y - 28) = (6y - 41)

Solving for y: -28 = -41 -28 + 41 = 6y - 6y 13 = 0 This equation leads to a contradiction, indicating that the initial information provided may not be consistent or accurate. Therefore, it's not possible to determine the initial number of flowers in each vase based on the given information.

Given the inconsistency in the provided information, it's not possible to calculate the initial number of flowers in each vase.

If you have any other questions or need further assistance, feel free to ask!