Question

Конструкторское бюро получило 78 словарей и 116 наборов карандашей, которые поделили поровну между рабочими. Сколько рабочих в бюро, если известно, что их больше чем 35?

Answer 1

78=2•3•13
116=2•2•29
Не получается поделить поровну...

Answer 2

Ответ:38 рабочих в бюро

Answer 3

Problem Analysis

We are given that a design bureau received 78 dictionaries and 116 sets of pencils, which were divided equally among the workers. We need to determine the number of workers in the bureau, knowing that there are more than 35 workers.

Solution

Let's assume that the number of workers in the bureau is x.

According to the problem statement, the dictionaries and sets of pencils were divided equally among the workers. Therefore, the number of dictionaries each worker received is given by the equation:

78 / x = k (Equation 1)

where k represents the number of dictionaries each worker received.

Similarly, the number of sets of pencils each worker received is given by the equation:

116 / x = m (Equation 2)

where m represents the number of sets of pencils each worker received.

Since we know that there are more than 35 workers, we can set up the following inequality:

x > 35 (Inequality 1)

To solve this system of equations, we can substitute the values of k and m from Equations 1 and 2 into Inequality 1 and solve for x.

Calculation

Let's calculate the number of workers in the bureau.

From Equation 1, we have:

78 / x = k

Substituting the value of k from Equation 2, we get:

78 / x = 116 / x

Cross-multiplying, we have:

78 * x = 116 * x

Simplifying, we get:

78 = 116

Since this equation is not true, it means that there is no solution for the number of workers in the bureau.

Conclusion

Based on the given information, it is not possible to determine the number of workers in the design bureau. The equations do not have a valid solution.