Question

Лисиця продавала цукерки першого гатунку по 30 грн за 1 кг і цукерки другого гатунку по 20 грн за 1 кг. Вартість yox цукерок першого гатунку дорівнювала загальній вартості цуке рок другого гатунку. Лисиця перемішала цукерки й стала продавати їх по 25 грн за кілограм. Після продажу всіх цукерок виявилося, що вона отри: мала грошей більше, ніж якби продавала цукерки окремо по гатунках. На скільки гривень обдурила покупців хитра Лисиця, якщо загальна вартість цукерок була 600 грн?​

Answer 1

Ответ:

Загальна вартість 600, при этом вартість 1г=вартості 2г

Значит вартість и 1, и 2=300 грн.

Отсюда в 1 гат 300÷30=10 кг

Во 2 гат 300÷20=15 кг

Продала 25 кг по 25 грн = 625 грн

Доход лисички 25 грн

Answer 2

Problem Analysis

We are given that a fox was selling two types of candies: the first type for 30 UAH per kilogram and the second type for 20 UAH per kilogram. The total value of the first type of candies was equal to the total value of the second type of candies. The fox then mixed the candies together and started selling them for 25 UAH per kilogram. We need to determine how much money the fox made by selling the candies, given that the total value of the candies was 600 UAH.

Solution

Let's assume that the fox sold x kilograms of the first type of candies and y kilograms of the second type of candies. We can set up the following equations based on the given information:

1. The total value of the first type of candies is equal to the total value of the second type of candies: - 30 * x = 20 * y

2. The total value of all the candies is 600 UAH: - 30 * x + 20 * y = 600

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

Solving the Equations

To solve the system of equations, we can use the substitution method. Let's solve equation 1 for x:

- 30 * x = 20 * y - x = (20 * y) / 30 - x = (2 * y) / 3

Now we can substitute this value of x into equation 2:

- 30 * ((2 * y) / 3) + 20 * y = 600 - 20 * y + 20 * y = 600 - 40 * y = 600 - y = 600 / 40 - y = 15

Substituting the value of y back into equation 1, we can find the value of x:

- x = (2 * 15) / 3 - x = 10

Therefore, the fox sold 10 kilograms of the first type of candies and 15 kilograms of the second type of candies.

Calculating the Profit

Now that we know the quantities of each type of candy sold, we can calculate the profit made by the fox. The fox initially sold the first type of candies for 30 UAH per kilogram and the second type for 20 UAH per kilogram. After mixing them together, the fox sold them for 25 UAH per kilogram.

The total profit made by the fox can be calculated as follows:

- Profit from selling the first type of candies = 10 * 30 = 300 UAH - Profit from selling the second type of candies = 15 * 20 = 300 UAH - Total profit = 300 + 300 = 600 UAH

Therefore, the fox made a profit of 600 UAH by selling the candies.

Conclusion

The fox made a profit of 600 UAH by selling the candies. The fox sold 10 kilograms of the first type of candies for 30 UAH per kilogram and 15 kilograms of the second type of candies for 20 UAH per kilogram. After mixing them together, the fox sold them for 25 UAH per kilogram.