Question

Двое рабочих изготовили 657 деталей, причем первый изготовил на 63 детали больше второго. Сколько деталей изготовил каждый? 2. Стоимость изделия третьего сорта в 3 раза меньше стоимости первого сорта. Сколько стоит каждое изделие, если изделие первого сорта стоит на 50 р. дороже изделия третьего сорта?

Answer 1

Task 1: Two workers manufacturing parts

To solve this problem, let's assign variables to the number of parts each worker manufactured. Let's call the number of parts manufactured by the first worker "x" and the number of parts manufactured by the second worker "y".

According to the given information, the first worker manufactured 63 more parts than the second worker, and the total number of parts manufactured by both workers is 657.

We can set up the following equations based on the given information:

Equation 1: x + y = 657 (total number of parts manufactured) Equation 2: x = y + 63 (first worker manufactured 63 more parts than the second worker)

To solve this system of equations, we can substitute Equation 2 into Equation 1:

(y + 63) + y = 657 2y + 63 = 657 2y = 657 - 63 2y = 594 y = 594 / 2 y = 297

Substituting the value of y back into Equation 2, we can find the value of x:

x = 297 + 63 x = 360

Therefore, the first worker manufactured 360 parts, and the second worker manufactured 297 parts.

Answer: The first worker manufactured 360 parts, and the second worker manufactured 297 parts.

[[SOURCE #]]