Question

Вася потратил 5 восьмых своих денег на подарок другу и 2 седьмых остатка на билет цирк после чего у него осталось 1050 руб. Сколько денег было у Васи

Answer 1

У васи было денег 1500

Answer 2

Solution:

To solve this problem, we can use a system of equations to represent the given information and solve for the initial amount of money Vasya had.

Let's denote the initial amount of money Vasya had as x.

1. Vasya spent 5/8 of his money on a gift for his friend. 2. He then spent 2/7 of the remaining amount on a circus ticket. 3. After these expenses, he had 1050 rubles left.

We can represent this information in the following equations:

1. x - (5/8)x = (3/8)x (Amount remaining after buying the gift) 2. (3/8)x - (2/7)(3/8)x = 1050 (Amount remaining after buying the circus ticket)

Let's solve for x using these equations.

Calculation:

1. (3/8)x = Amount remaining after buying the gift 2. (2/7)(3/8)x = Amount remaining after buying the circus ticket

Using the given information, we can set up the equations:

1. (3/8)x - (2/7)(3/8)x = 1050 - Simplifying, we get: (3/8)x - (3/28)x = 1050 - Combining like terms: (15/28)x = 1050 - Solving for x: x = 1050 * (28/15) - Calculating: x = 1960

Answer:

So, the initial amount of money Vasya had was 1960 rubles.