Question

На одной пасеке было 56 ульев, на другой 48. С первой пасеке собрали на 80кг больше мёда, чем со второй. Сколько мёда собрали с каждой пасеки, если в каждом улике было одинаковое количество мёда?

Answer 1

1)56-48=8 на 8 ульев в одной больше
2)80/8=10кг собрали с каждого улья
3)56*10=560кг собрали с первой пасеки
4)48*10=480кг собрали со второй пасеки

Answer 2

Problem Analysis

We are given two apiaries (or bee farms) with 56 and 48 hives respectively. The first apiary collected 80 kg more honey than the second apiary. We need to determine how much honey was collected from each apiary, assuming that each hive produced the same amount of honey.

Solution

Let's assume that each hive produced x kg of honey.

From the information given, we can set up the following equations:

Equation 1: Total honey collected from the first apiary = 56 * x kg Equation 2: Total honey collected from the second apiary = 48 * x kg Equation 3: Total honey collected from the first apiary = Total honey collected from the second apiary + 80 kg

We can solve these equations to find the value of x and then calculate the amount of honey collected from each apiary.

Calculation

Let's solve the equations:

Equation 1: Total honey collected from the first apiary = 56 * x kg Equation 2: Total honey collected from the second apiary = 48 * x kg Equation 3: Total honey collected from the first apiary = Total honey collected from the second apiary + 80 kg

From Equation 1, we have: 56 * x = Total honey collected from the first apiary

From Equation 2, we have: 48 * x = Total honey collected from the second apiary

From Equation 3, we have: Total honey collected from the first apiary = Total honey collected from the second apiary + 80 kg

Substituting the values from Equation 1 and Equation 2 into Equation 3, we get: 56 * x = 48 * x + 80

Simplifying the equation, we have: 8 * x = 80

Dividing both sides of the equation by 8, we get: x = 10

Therefore, each hive produced 10 kg of honey.

Now, we can calculate the total honey collected from each apiary:

Total honey collected from the first apiary = 56 * 10 kg = 560 kg Total honey collected from the second apiary = 48 * 10 kg = 480 kg

Answer

Each apiary collected honey as follows: - The first apiary collected 560 kg of honey. - The second apiary collected 480 kg of honey.

Note: The calculations assume that each hive produced the same amount of honey.