Question

Задача помогите пожалуйста букет из двух хризантем и одной лилии стоит 66 руб причем лилия на 9 руб дешевли хризантемы . Какова цена лилии и цена хризантемы

Answer 1

Стоимость хризантемы - х
стоимость лилии - х-9

2х+(х-9) = 66
2х+х-9=66
3х=66+9
3х=75
х=25 (р.)  -стоимость 1 хризантемы
25-9=16 (р.) - стоимость 1 лилии

Answer 2

Problem Analysis

The problem states that a bouquet consists of two chrysanthemums and one lily, and the total cost of the bouquet is 66 rubles. It is also mentioned that the lily is 9 rubles cheaper than the chrysanthemums. We need to determine the price of the lily and the price of the chrysanthemum.

Solution

Let's assume the price of the chrysanthemum is x rubles. According to the problem, the lily is 9 rubles cheaper than the chrysanthemum. Therefore, the price of the lily would be (x - 9) rubles.

The total cost of the bouquet is given as 66 rubles. Since the bouquet consists of two chrysanthemums and one lily, we can write the equation:

2x + (x - 9) = 66

Simplifying the equation, we get:

3x - 9 = 66

Adding 9 to both sides of the equation, we have:

3x = 75

Dividing both sides of the equation by 3, we find:

x = 25

Therefore, the price of the chrysanthemum is 25 rubles, and the price of the lily is (25 - 9) = 16 rubles.

Answer

The price of the chrysanthemum is 25 rubles, and the price of the lily is 16 rubles.

Verification

To verify the solution, let's substitute the values back into the equation:

2 * 25 + (25 - 9) = 66

50 + 16 = 66

66 = 66

The equation holds true, which confirms that the solution is correct.