Question

Перший робітник виконав за зміну 3/16 всього замовлення, а другий - 5/16 всього замовлення. Другий робітник одержав за виконану роботу на 56 грн більше, ніж перший. Скільки коштує все замовлення ? Скільки грошей заробив за цю зміну кожний з робітників ?

Answer 1

5/16-3/16=2/16=1/8 на столько больше сделал второй и за это получил 56гр
56:1/8=56*8=448гр-платят за все задание
448*3/16=84гр получил 1й
84+56=140гр получил второй

Answer 2

Calculating the Cost of the Entire Order and the Earnings of Each Worker

To calculate the cost of the entire order and the earnings of each worker, we can use the information provided about the work completed by the first and second workers.

The first worker completed 3/16 of the entire order, and the second worker completed 5/16 of the entire order. The second worker received 56 hryvnias more than the first worker for the work done.

Let's denote the cost of the entire order as C, the earnings of the first worker as E1, and the earnings of the second worker as E2.

We can set up the following equations based on the given information: 1. 3/16C = E1 (The earnings of the first worker for completing 3/16 of the entire order) 2. 5/16C = E2 (The earnings of the second worker for completing 5/16 of the entire order) 3. E2 - E1 = 56 (The second worker received 56 hryvnias more than the first worker)

We can use these equations to solve for the cost of the entire order and the earnings of each worker.

Solving for the Cost of the Entire Order and the Earnings of Each Worker

To solve for the cost of the entire order and the earnings of each worker, we can use the given equations.

From equation 1, we can express C in terms of E1: C = (16/3)E1

From equation 2, we can express C in terms of E2: C = (16/5)E2

Setting the two expressions for C equal to each other: (16/3)E1 = (16/5)E2

We can then solve for E1 in terms of E2: E1 = (3/5)E2

Substituting this expression for E1 into equation 3: (3/5)E2 - E1 = 56

Solving for E2: (3/5)E2 - (3/5)E2 = 56 2/5E2 = 56 E2 = 140

Substituting E2 = 140 into the expression for E1: E1 = (3/5) * 140 E1 = 84

So, the second worker earned 140 hryvnias, and the first worker earned 84 hryvnias for their work.

Calculating the Cost of the Entire Order

To calculate the cost of the entire order, we can use the earnings of the first worker: 3/16C = E1 (3/16)C = 84 C = (16/3) * 84 C = 448

Therefore, the cost of the entire order is 448 hryvnias.

Conclusion

The cost of the entire order is 448 hryvnias. The first worker earned 84 hryvnias, and the second worker earned 140 hryvnias for their work.