Question

Помогите решить задачу за два дня мастер и ученик изготовил 312 деталей.Сколько деталей изготовлял каждый из них за один день, если мастер производит за день в 3 раза больше деталей, чем ученик

Answer 1

Х+х+3х+3х=312
8х=312
х=39
ученик за один день изготовил 39 деталей
учитель за один день изготовил 117 деталей

Answer 2

Problem Analysis

We are given that a master and an apprentice manufactured a total of 312 parts in two days. The master produces three times as many parts as the apprentice in one day. We need to determine how many parts each of them produced in one day.

Solution

Let's assume that the apprentice produces x parts in one day. Since the master produces three times as many parts as the apprentice, the master produces 3x parts in one day.

We know that the total number of parts produced in two days is 312. Therefore, we can set up the following equation:

x + 3x = 312

Simplifying the equation, we get:

4x = 312

To find the value of x, we divide both sides of the equation by 4:

x = 312 / 4

Now we can calculate the value of x:

x = 78

So, the apprentice produces 78 parts in one day, and the master produces 3 times as many, which is 3 * 78 = 234 parts in one day.

Answer

The apprentice produces 78 parts in one day, and the master produces 234 parts in one day.

Verification

Let's verify our answer by substituting the values back into the original equation:

78 + 3 * 78 = 312

Simplifying the equation, we get:

78 + 234 = 312

312 = 312

The equation holds true, which confirms that our answer is correct.