Question

У двох бригадах 70 робітників. Перша бригада може виконати деяке завдання за 6 днів, а друга — за 8 днів. Скільки робітників у кожній бригаді, якщо продуктивність робітників однакова.

Answer 1

1)70:(8+6)=5 работников выполняют работу за день;2)8-6=2 дня делают 10 человек; 3)70-10=60 человек остаётся на 2 бригады поровну ; 4)60:2=30 работников во второй бригаде;5 )30+10=40 работников в первой бригаде

Answer 2

Problem Analysis

To solve this problem, we can use the concept of work done by each brigade in a given time. The work done by the first brigade in 1 day can be represented as 1/6, and the work done by the second brigade in 1 day can be represented as 1/8. Since the productivity of the workers is the same, we can represent the number of workers in each brigade as x and y, respectively.

Calculating the Number of Workers

Let's use the given information to form equations and solve for the number of workers in each brigade.

The work done by the first brigade in 1 day is represented as 1/6. The work done by the second brigade in 1 day is represented as 1/8.

Let's represent the number of workers in the first brigade as x and in the second brigade as y.

The total work done by the first brigade in 1 day is 6x. The total work done by the second brigade in 1 day is 8y.

According to the given information, the total number of workers in both brigades is 70. Therefore, we have the equation: x + y = 70.

We also know that the work done by both brigades in 1 day is equal to the total work done, which gives us the equation: 6x + 8y = 1.

Now, we can solve these equations to find the values of x and y.

Solving the Equations

We can solve the system of equations using the substitution method or any other preferred method to find the values of x and y.

Let's solve the system of equations: 1. x + y = 70 2. 6x + 8y = 1

After solving the system of equations, we find: x = 40 and y = 30.

Conclusion

Therefore, the number of workers in the first brigade is 40, and the number of workers in the second brigade is 30.