Question

У Васи с Машей было поровну денег .Когда Вася купил книгу за 70р.,а Маша -журнал за 30 р.,то у Маши осталось денег в 3 раза больше ,чем у Васи.Сколько рублей было у каждого вначале?

Answer 1

(х-70)*3=х-30
3*X-210-X+30=0
2*X-180=0
х=90
У детей было по 90 рублей

Answer 2

Пусть у Васи будет х рублей, тогда у Маши будет 3х рублей. Получаем уравнение:
1)70 + х = 30 + 3х
х - 3х = 30 - 70
- 2х = - 40
х = 20 - у Васи
2) 20 * 3 = 60 (руб.) - у Маши

Ответ: 20 рублей у Васи, 60 рублей у Маши

Answer 3

Problem Analysis

We are given that Vasya and Masha had an equal amount of money. When Vasya bought a book for 70 rubles and Masha bought a magazine for 30 rubles, Masha had three times more money left than Vasya. We need to find out how much money each of them had initially.

Solution

Let's assume that both Vasya and Masha had x rubles initially.

According to the given information: - Vasya spent 70 rubles on a book, so he has x - 70 rubles left. - Masha spent 30 rubles on a magazine, so she has x - 30 rubles left. - Masha has three times more money left than Vasya, so we can write the equation: x - 30 = 3(x - 70).

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

Equation Solving

Expanding the equation: x - 30 = 3x - 210.

Simplifying the equation: 2x = 180.

Dividing both sides by 2: x = 90.

Answer

Therefore, Vasya and Masha each had 90 rubles initially.

Explanation

Initially, both Vasya and Masha had 90 rubles. Vasya spent 70 rubles on a book, leaving him with 20 rubles. Masha spent 30 rubles on a magazine, leaving her with 60 rubles. Masha has three times more money left than Vasya, as 60 rubles is indeed three times more than 20 rubles.