Question

Рабочий за 3 дня изготовил 208 деталей.В первый день он выполнил норму,во второй перевыполнил на 15%, а в третий день изготовил на 10 деталей больше,чем во второй.Сколько деталей изготовил рабочий за каждый из трех дней?

Answer 1

Пусть норма - х деталей, тогда в первый день рабочий изготовил х деталей, во второй день он изготовил (х+0,15х) деталей, а в третий день (х+0,15х)+10 деталей. За три дня он изготовил 208 деталей. Запишем уравнение: х+(х+0,15х)+(х+0,15х+10)=208; х+1,15х+1,15х+10=208; 3,3х=208-10; 3,3х=198; х=198:3,3=60 деталей в первый день; Во второй день 1,15*60=69 деталей; в третий день 69+10=79 деталей.

Answer 2

Calculation of the Number of Parts Produced Each Day

To determine the number of parts produced by the worker on each of the three days, let's break down the information provided:

- On the first day, the worker met the production target, so the number of parts produced is not specified. - On the second day, the worker exceeded the production target by 15%. - On the third day, the worker produced 10 more parts than on the second day.

To find the number of parts produced each day, we can use algebraic equations based on the given information.

Let's assume the number of parts produced on the first day is x.

According to the information provided: - On the second day, the worker exceeded the production target by 15%, which means the number of parts produced is 115% of the target. Therefore, the number of parts produced on the second day is 1.15x. - On the third day, the worker produced 10 more parts than on the second day. So, the number of parts produced on the third day is 1.15x + 10.

Now, we can set up an equation to solve for x:

x + 1.15x + (1.15x + 10) = 208

Simplifying the equation:

3.3x + 10 = 208

Subtracting 10 from both sides:

3.3x = 198

Dividing both sides by 3.3:

x = 60

Therefore, the number of parts produced on the first day is 60.

Using this value, we can calculate the number of parts produced on the second and third days:

- On the second day: 1.15x = 1.15 * 60 = 69 - On the third day: 1.15x + 10 = 1.15 * 60 + 10 = 69 + 10 = 79

So, the worker produced 60 parts on the first day, 69 parts on the second day, and 79 parts on the third day.

Please note that the calculations are based on the information provided and may not be accurate if the information is incomplete or incorrect.