Question

Майстер має виготовити партію деталей. За перший день він виготовив 3/8 усіх деталей, а за другий – 80% решти деталей. Яку частину всіх деталей залишилося виготовити майстру? Пошагово пожалуйста

Answer 1

Calculating the Remaining Parts to be Manufactured

To calculate the remaining parts that the master needs to manufacture, we can follow these steps:

1. Calculate the fraction of parts manufactured on the first day: - The master manufactured 3/8 of all the parts on the first day.

2. Calculate the fraction of parts remaining after the first day: - This can be found by subtracting the fraction of parts manufactured on the first day from 1 (since 1 represents the whole).

3. Calculate the fraction of parts manufactured on the second day: - The master manufactured 80% of the remaining parts on the second day.

4. Calculate the total fraction of parts remaining after the second day: - This can be found by multiplying the fraction of parts remaining after the first day by 80%.

Let's proceed with the calculations.

Step 1: Calculate the Fraction of Parts Manufactured on the First Day

The master manufactured 3/8 of all the parts on the first day.

Step 2: Calculate the Fraction of Parts Remaining after the First Day

The fraction of parts remaining after the first day can be found by subtracting 3/8 from 1: 1 - 3/8 = 5/8

Step 3: Calculate the Fraction of Parts Manufactured on the Second Day

The master manufactured 80% of the remaining parts on the second day.

Step 4: Calculate the Total Fraction of Parts Remaining after the Second Day

To find the total fraction of parts remaining after the second day, we multiply the fraction of parts remaining after the first day by 80%: 5/8 * 80% = 5/8 * 0.80 = 1/2

Conclusion

The master has 1/2 of all the parts remaining to manufacture.

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