Question

Решите через уравнение с полным оформлением : В строительстве дороги принимали участие две бригады, причем число рабочих первой бригады составило 52 % числа всех рабочих двух бригад вместе. Сколько рабочих в каждой бригаде, если в первой бригаде на 2 человека больше, чем во второй?

Answer 1

1) 100-52=48% - составляло число рабочих 2-ой бригады от общего числа рабочих

2) 52-48=4% - составляет разница в 2 человека

3) пусть х - общее число рабочих в двух бригадах

   2 чел - 4% 

   х чел. 100%

   х= 2*100/4

   х= 50 (чел.) - в двух бригадах

4) 50*0,52= 26 (чел) - в первой бригаде

5) 50*0,48=24 (чел.) - во второй бригаде

Answer 2

#### Problem Analysis We are given that two brigades participated in the construction of a road. The number of workers in the first brigade is 52% of the total number of workers in both brigades combined. Additionally, the number of workers in the first brigade is 2 more than the number of workers in the second brigade. We need to find the number of workers in each brigade. #### Solution Let's assume the number of workers in the second brigade is **x**. According to the given information, the number of workers in the first brigade is 52% of the total number of workers in both brigades combined. This can be expressed as: **Number of workers in the first brigade = 52% of (Number of workers in the first brigade + Number of workers in the second brigade)** Mathematically, this can be written as: **0.52 * (Number of workers in the first brigade + Number of workers in the second brigade) = Number of workers in the first brigade** We also know that the number of workers in the first brigade is 2 more than the number of workers in the second brigade. This can be expressed as: **Number of workers in the first brigade = Number of workers in the second brigade + 2** Now we can solve these two equations to find the values of the number of workers in each brigade. #### Solution Steps 1. Let's assume the number of workers in the second brigade is **x**. 2. Using the equation **Number of workers in the first brigade = Number of workers in the second brigade + 2**, we can express the number of workers in the first brigade as **x + 2**. 3. Using the equation **0.52 * (Number of workers in the first brigade + Number of workers in the second brigade) = Number of workers in the first brigade**, we can substitute the value of the number of workers in the first brigade as **x + 2** and solve for **x**. 4. Simplifying the equation, we get **0.52 * (x + 2 + x) = x + 2**. 5. Solving for **x**, we get **0.52 * (2x + 2) = x + 2**. 6. Expanding the equation, we get **1.04x + 1.04 = x + 2**. 7. Simplifying the equation, we get **0.04x = 0.96**. 8. Dividing both sides of the equation by 0.04, we get **x = 24**. 9. Therefore, the number of workers in the second brigade is **24**. 10. Using the equation **Number of workers in the first brigade = Number of workers in the second brigade + 2**, we can substitute the value of **x** as **24** and solve for the number of workers in the first brigade. 11. Simplifying the equation, we get **Number of workers in the first brigade = 24 + 2**. 12. Therefore, the number of workers in the first brigade is **26**. #### Answer The number of workers in each brigade is as follows: - First brigade: **26 workers** - Second brigade: **24 workers** Please let me know if you need any further assistance.