Question

Сумма истраченных денег составляет 25% оставшихся денег.После того ,как истратили ещё 5 рублей , сумма истраченных денег составила 1/3 оставшихся денег.Сколько денег было первоначально?

Answer 1

Problem Analysis

We are given the following information: - The sum of the money spent is 25% of the remaining money. - After spending an additional 5 rubles, the sum of the money spent is 1/3 of the remaining money.

We need to determine the initial amount of money.

Solution

Let's assume the initial amount of money is x rubles.

According to the first statement, the sum of the money spent is 25% of the remaining money. This can be expressed as:

0.25 * (x - 5) = x - (x - 5)

Simplifying the equation:

0.25 * (x - 5) = 5

Now, let's solve this equation to find the value of x.

Calculation

0.25 * (x - 5) = 5

Multiplying both sides by 4 to eliminate the decimal:

x - 5 = 20

Adding 5 to both sides:

x = 25

Therefore, the initial amount of money was 25 rubles.

Answer

The initial amount of money was 25 rubles.