Question

На одной пасеке с каждого улья получили по 60 кг мёда, а на другой по 70 кг. Всего собрали с двух пасек 4510 кг мёда. Сколько мёда получили с каждой пасеки, если на второй пасеке на 5 ульев больше?

Answer 1

на первой павеке - х ульев

на второй пасеке - х+5 ульев

60х+70*(х+5)=4510

60х+70х+350=4510

130х=4160

х=32 (ул.) - на 1 пасеке

32+5=37 (ул.) - на 2 пасеке

60*32=1920 (кг) - меда с 1 пасеки

70*37=2590 (кг) - меда со 2 пасеки

Answer 2

На 1 пасеке - Х ульев

На 2 пасеке( Х+5) ульев

С первой пасеке собрали 60Х мёда

Со второй пасеке собрали (Х+5) * 70

60Х + (Х+5)*70 = 4510

60Х+70Х+350 = 4510

130Х = 4510 - 350

130Х = 4160

Х = 4160 : 130

Х = 32 улья на 1 пасеке

60 * 32 = 1920 кг мёда получили с первой пасеки

32 + 5 = 37 - ульев было на второй пасеке

70 * 37 = 2590 кг мёда собрали со второй пасеки

Answer 3

Calculating Honey Yield from Each Hive

To solve this problem, we can set up a system of equations based on the given information. Let's denote: - x as the number of hives on the first apiary - y as the number of hives on the second apiary

Given: - Each hive on the first apiary produced 60 kg of honey - Each hive on the second apiary produced 70 kg of honey - The total honey collected from both apiaries is 4510 kg - There are 5 more hives on the second apiary than on the first apiary

We can then form the following equations: 1. x * 60 + y * 70 = 4510 (total honey collected) 2. y = x + 5 (5 more hives on the second apiary than on the first apiary)

Solving the System of Equations

Substitute the value of y from equation 2 into equation 1: x * 60 + (x + 5) * 70 = 4510 60x + 70x + 350 = 4510 130x = 4160 x = 32

Substitute the value of x back into equation 2 to find y: y = 32 + 5 y = 37

Calculating the Honey Yield from Each Apiary

Therefore, the number of hives on the first apiary is 32 and on the second apiary is 37.

The honey yield from each apiary is as follows: - The first apiary: 32 hives * 60 kg/hive = 1920 kg - The second apiary: 37 hives * 70 kg/hive = 2590 kg