Question

Для нового станка сделали 2 детали.Масса одной из них в 3 раза больше массы другой.Чему равна масса каждой детали,если масса однойиз них на 700 г меньше массы другой

Answer 1

Пусть масса одной детали - х
второй - 3*х
масса однойиз них на 700 г меньше, массы другой, значит:
3х-х=700
2х=700
х=700:2
х=350 г масса одной детали
350*3=1050 г масса второй детали
проверяем: 1050-350=700 - верно

Answer 2

Problem Analysis

We are given that two parts were made for a new machine, and the mass of one part is three times greater than the mass of the other part. We are also given that the mass of one part is 700 grams less than the mass of the other part. We need to find the mass of each part.

Solution

Let's assume the mass of the smaller part is x grams. According to the given information, the mass of the larger part is three times greater, so its mass is 3x grams.

We are also given that the mass of one part is 700 grams less than the mass of the other part. This can be expressed as:

3x - x = 700

Simplifying the equation, we get:

2x = 700

Solving for x, we divide both sides of the equation by 2:

x = 350

Therefore, the mass of the smaller part is 350 grams, and the mass of the larger part is three times greater, which is:

3x = 3 * 350 = 1050 grams

So, the mass of each part is 350 grams and 1050 grams, respectively.

Answer

The mass of each part is 350 grams and 1050 grams, respectively.