Question

Токарь в первый день изготовил в 4 раза больше деталей, чем во второй день. Может ли токарь за два дня изготовить 131 деталь, 135 деталей или 137 деталей?

Answer 1

Если принять количество деталей, изготовленных во второй день за х, то общее количество деталей изготовленных за два дня будет находиться по формуле
4х+х=5х
как видим это количество должно быть кратно 5, поэтому нам подходит только результат 135
4х+х=135
5х=135
х=135:5
х=27

Answer 2

Problem Analysis

The problem states that a lathe operator (tokar) produced four times as many parts on the first day as on the second day. We need to determine if the operator can produce 131, 135, or 137 parts in two days.

Solution

Let's assume that the number of parts produced on the second day is x. According to the problem, the number of parts produced on the first day is four times x.

So, the equation representing the total number of parts produced in two days is:

Total number of parts = (4x) + x = 5x

To find out if the operator can produce 131, 135, or 137 parts in two days, we need to solve the equation 5x = 131, 5x = 135, and 5x = 137.

Let's calculate the value of x for each equation:

1. For 5x = 131: - Divide both sides of the equation by 5: x = 131/5 = 26.2 - Since the number of parts produced must be a whole number, the operator cannot produce 131 parts in two days.

2. For 5x = 135: - Divide both sides of the equation by 5: x = 135/5 = 27 - The operator can produce 135 parts in two days.

3. For 5x = 137: - Divide both sides of the equation by 5: x = 137/5 = 27.4 - Since the number of parts produced must be a whole number, the operator cannot produce 137 parts in two days.

Conclusion

Based on the calculations, the lathe operator can produce 135 parts in two days. However, they cannot produce 131 or 137 parts in two days.

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