Question

из 336 рублей часть денег оля отдала за билет на катер, который ходит по Волге,а 3/5 оставшихся после этого потратила на покупку открыток. у нее осталось 20 руб. Сколько стоил билет на катер?

Answer 1

20 руб = 2/5 оставшейся сумы 
оставшаяся сума: 50 руб 
стоимость билета: 336 руб - 50 руб = 286 руб

Answer 2

Problem Analysis

We are given that Olga spent part of her money on a ticket for a boat ride on the Volga River, and then she spent 3/5 of the remaining money on buying postcards. We are also told that she has 20 rubles left. We need to determine the cost of the boat ticket.

Solution

Let's assume Olga initially had x rubles. According to the given information, she spent part of her money on the boat ticket, and then 3/5 of the remaining money on postcards. This can be represented by the following equation:

x - (x * p) - (x - (x * p)) * (3/5) = 20

Where p is the proportion of money Olga spent on the boat ticket.

To solve for p, we can rearrange the equation:

x - (x * p) - (x - (x * p)) * (3/5) = 20 => x - (x * p) - (x - (x * p)) * 3#### Problem Analysis We are given that Olga spent part of her money on a ticket for a boat ride on the Volga River. After that, she spent 3/5 of the remaining money on buying postcards. We are also told that she had 20 rubles left. We need to determine the cost of the boat ticket.

Solution

Let's assume Olga initially had x rubles. According to the given information, she spent part of her money on the boat ticket, and 3/5 of the remaining money on postcards. This can be expressed as:

x - (part spent on the boat ticket) - (3/5)(x - (part spent on the boat ticket)) = 20

Simplifying the equation, we have:

x - (part spent on the boat ticket) - (3/5)x + (3/5)(part spent on the boat ticket) = 20

Combining like terms, we get:

(2/5)x + (2/5)(part spent on the boat ticket) = 20

Since we don't know the exact value of x or the part spent on the boat ticket, we cannot solve for them directly. However, we can make an assumption to simplify the problem. Let's assume that Olga spent half of her money on the boat ticket, i.e., (part spent on the boat ticket) = x/2.

Substituting this assumption into the equation, we have:

(2/5)x + (2/5)(x/2) = 20

Simplifying further, we get:

(2/5)x + (1/5)x = 20

Combining like terms, we have:

(3/5)x = 20

To solve for x, we can multiply both sides of the equation by 5/3:

x = (20 * 5) / 3

Evaluating the expression, we find:

x = 100 / 3

Therefore, Olga initially had 100/3 rubles. Now, we can calculate the cost of the boat ticket by subtracting the amount of money she had left (20 rubles) from the initial amount:

Cost of the boat ticket = (100/3) - 20

Calculating the expression, we find:

Cost of the boat ticket = 100/3 - 60/3 = 40/3

So, the cost of the boat ticket is 40/3 rubles.

Answer

The cost of the boat ticket on the Volga River was 40/3 rubles.