Question

На машину погрузили 9 ящиков с инструментами и 8 бочек с краской. Весь груз весит 875,25 кг. Бочка весит в 2 раза больше, чем ящик. Определите массу ящика и массу бочки.

Answer 1

Х - вес ящиков
всего - 9
х*2 - вес бочек
всего - 8
9*х+8*2х=875,25
9х+16х=875,25
25х=875,25
х=875,25/25
х=35,01 кг - вес одного ящика
35,01*2= 70,02 кг - вес одной бочки
проверка: 70,02*8+35,01*9=560,16+315,09=875,25

Answer 2

Calculation of the Mass of the Box and Barrel

To determine the mass of the box and barrel, we can set up a system of equations based on the given information.

Let's assume the mass of the box is x kg. According to the problem, the barrel weighs twice as much as the box, so the mass of the barrel is 2x kg.

We know that there are 9 boxes and 8 barrels, and the total weight of the cargo is 875.25 kg. We can express this information in the following equation:

9x + 8(2x) = 875.25

Simplifying the equation, we have:

9x + 16x = 875.25

Combining like terms:

25x = 875.25

Dividing both sides by 25:

x = 35.01

Therefore, the mass of the box is approximately 35.01 kg and the mass of the barrel is approximately 70.02 kg.

Please note that the values are rounded to two decimal places for simplicity.