Question

Мастер и два ученика изготовили 900 деталей.Первый ученик изготовил на 10 деталей больше , чем второй.Мастер изготовил на 25% деталей больше , чем ученики .сколько деталей изготовил мастер ?

Answer 1

900=100%+125%=225%
900/225=4=1%
125*4=500 -мастер
100%*4=400- Ученики

Answer 2

Calculating the Number of Parts Produced

To solve this problem, we can use a system of equations to represent the given information and then solve for the number of parts the master produced.

Let's denote: - The number of parts produced by the first apprentice as x. - The number of parts produced by the second apprentice as y.

Given: - The first apprentice produced 10 more parts than the second apprentice: x = y + 10. - The master produced 25% more parts than the total produced by both apprentices: master = 1.25 * (x + y).

Solving the Equations

We can use the first equation to express x in terms of y and then substitute it into the second equation to solve for the number of parts produced by the master.

From the first equation, we have: x = y + 10.

Substituting x into the second equation: master = 1.25 * ((y + 10) + y) master = 1.25 * (2y + 10) master = 2.5y + 12.5

Now, we need to find the value of y to determine the number of parts produced by the master.

Calculating the Number of Parts Produced by the Master

Let's solve for y using the given information.

Given that the total number of parts produced is 900, we can set up the equation: x + y + master = 900

Substituting x = y + 10 and master = 2.5y + 12.5: (y + 10) + y + (2.5y + 12.5) = 900 4.5y + 22.5 = 900 4.5y = 877.5 y = 195

Now that we have the value of y, we can calculate the number of parts produced by the master: master = 2.5 * 195 + 12.5 master = 487.5 + 12.5 master = 500

Answer

The master produced 500 parts.