Question

4 боксёра тяжёлого веса и 5 боксёров лёгкого веса вместе весят 730 кг.Спортсмен тяжёлого веса весит на 70кг.больше спортсмена лёгкого веса .Сколько весят боксёры X-кол-во спортсменов тяжёлого веса Y-кол-во спортсменов лёгкого веса.

Answer 1

4(x+70)+5x=730
4x+280+5x=730
9x=730-280=450
x=50
ответ: 50 кг легкий вес, 120 кг тяжелый вес.

Answer 2

Solution:

Let's denote the weight of a heavyweight boxer as X kg and the weight of a lightweight boxer as Y kg.

We are given the following information: 1. There are 4 heavyweight boxers and 5 lightweight boxers, and their total weight is 730 kg. 2. The weight of a heavyweight boxer is 70 kg more than the weight of a lightweight boxer.

We can set up a system of equations to solve for the weights of the boxers.

1. The total weight equation: - 4X (total weight of heavyweight boxers) + 5Y (total weight of lightweight boxers) = 730 [[1]]

2. The weight difference equation: - X = Y + 70

Now, let's solve the system of equations to find the weights of the boxers.

First, we'll use the weight difference equation to express X in terms of Y: - X = Y + 70

Then, we'll substitute X in the total weight equation: - 4(Y + 70) + 5Y = 730 - 4Y + 280 + 5Y = 730 - 9Y + 280 = 730 - 9Y = 730 - 280 - 9Y = 450 - Y = 450 / 9 - Y = 50

Now that we have found the weight of the lightweight boxer (Y), we can find the weight of the heavyweight boxer (X) using the weight difference equation: - X = 50 + 70 - X = 120

Answer:

The heavyweight boxers weigh 120 kg each, and the lightweight boxers weigh 50 kg each.