Question

Рабочий израсходовал 2/35 зарплаты на уплату за квартиру, 5/22 оставшихся денег на покупки вещей.После этого у него осталось на 320 руб. больше,чем он израсходовал. Какова зарплата рабочего?

Answer 1

Х-ЗП
(х-2/35х)*(1-5/22)=320
33/35х*17/22=320
3/35х*17/2=320
51/70х=320
х=320:51/70=320*70/51=439 11/51 руб

Без уравнения
1-5/22=17/22 это 320 руб.
320:17/22=320*22/17=7040/17=414 2/17 руб-остаток после уплаты за квартиру
1-2/35=33/35 это 414 2/17р.
7040/17:33/35=7040/17*35/33=246400/561=439 121/561=439 11/51 р-ЗП

Answer 2

Calculating the Worker's Salary

To calculate the worker's salary, we can use the given information about the proportions of the salary spent on rent and purchases, as well as the remaining amount. Let's denote the worker's salary as S.

The worker spent 2/35 of the salary on rent and 5/22 of the remaining money on purchases. After these expenses, the worker had 320 rubles more than the total amount spent.

Calculations

Let's set up the equation to solve for the worker's salary S:

1. The amount spent on rent: 2/35 * S 2. The amount spent on purchases: 5/22 * (S - 2/35 * S) 3. The remaining amount after expenses: S - (2/35 * S) - (5/22 * (S - 2/35 * S))

According to the given information, the remaining amount is 320 rubles more than the total amount spent. Therefore, we can write the equation:

S - (2/35 * S) - (5/22 * (S - 2/35 * S)) + 320 = S

Solving this equation will give us the worker's salary.

Solution

Let's solve the equation to find the value of S: ``` S - (2/35 * S) - (5/22 * (S - 2/35 * S)) + 320 = S ```

After solving the equation, the value of S will be the worker's salary.