Question

Первый рабочий сделал за смену 3\16 всего заказа,а второй 5\16 всего заказа. Второй рабочий получил за выполненную работу на 800рублей больше,чем первый. Сколько стоил весь заказ,если оплата рабочим производилась пропорционально выполненному объёму работы? Сколько денег заработал на эту смену каждый рабочий ?

Answer 1

1) 5/16 - 3/16 = 2/16
2) 2/16 = 800 рублей
3) 800/2 = 400 рублей приходится на 1 долю, значит
16*400 = 16400 рублей стоил весь заказ
400*5 = 2000 рублей заработал второй рабочий
400*3 = 1200 рублей заработал первый рабочий

Answer 2

Пусть х - стоимость заказа
х*5/16 - плата 1-го рабочего
х*3/16 - плата 2-го рабочего

х*5/16-х*3/16=800
х*(5/16-3/16)=800
х*2/16=800
х/8=800
х=800*8=6400 (руб.) - стоимость заказа
6400*5/16=2000 (руб.) - заработал 1-й рабочий
6400*3/16=1200 (руб.) - заработал 2-й рабочий

Answer 3

Problem Analysis

We are given that the first worker completed 3/16 of the total order in one shift, while the second worker completed 5/16 of the total order. The second worker received 800 rubles more than the first worker for their work. We need to determine the total cost of the order and how much each worker earned for their shift.

Solution

Let's assume the total cost of the order is C rubles. Since the second worker completed 5/16 of the order, they earned 800 rubles more than the first worker. This means that the second worker earned 800 + X rubles, where X is the amount earned by the first worker.

To find the value of C, we can set up the following equation based on the proportion of work completed by each worker:

(5/16)C - (3/16)C = 800

Simplifying the equation, we have:

(2/16)C = 800

Now, let's solve for C:

(2/16)C = 800

Multiplying both sides by 16/2:

C = 800 * (16/2)

C = 800 * 8

C = 6400

Therefore, the total cost of the order is 6400 rubles.

To find the amount earned by each worker, we can substitute the value of C into the equation:

First worker's earnings = (3/16)C

Second worker's earnings = (5/16)C

Substituting the value of C:

First worker's earnings = (3/16) * 6400

Second worker's earnings = (5/16) * 6400

Calculating the values:

First worker's earnings = 1200 rubles

Second worker's earnings = 2000 rubles

Therefore, the first worker earned 1200 rubles and the second worker earned 2000 rubles for their shift.

Answer

The total cost of the order was 6400 rubles. The first worker earned 1200 rubles, while the second worker earned 2000 rubles for their shift.