Question

В первой бригаде работает в два раза меньше человек, чем во второй, а в третьей бригаде на 5 человек больше, чем в первой и второй вместе взятых. Сколько рабочих в каждой бригаде, если всего в них работает 215 человек?

Answer 1

Problem Analysis

We are given information about the number of workers in three different brigades. The first brigade has half the number of workers as the second brigade, and the third brigade has 5 more workers than the combined total of the first and second brigades. We need to determine the number of workers in each brigade, given that there are a total of 215 workers.

Solution

Let's assume the number of workers in the second brigade is x. Then, the number of workers in the first brigade would be x/2. And the number of workers in the third brigade would be (x/2) + x + 5.

According to the given information, the total number of workers in all three brigades is 215. We can write this as an equation:

(x/2) + x + 5 + x = 215

Simplifying the equation:

(5/2)x + 5 = 215

Subtracting 5 from both sides:

(5/2)x = 210

Multiplying both sides by 2/5:

x = (2/5) * 210

Simplifying:

x = 84

Now that we have the value of x, we can find the number of workers in each brigade:

- First brigade: x/2 = 84/2 = 42 - Second brigade: x = 84 - Third brigade: (x/2) + x + 5 = 42 + 84 + 5 = 131

Therefore, there are 42 workers in the first brigade, 84 workers in the second brigade, and 131 workers in the third brigade.

Answer

There are 42 workers in the first brigade, 84 workers in the second brigade, and 131 workers in the third brigade.