Question

ПОМОГИТЕ РЕШИТЬ. У ПЕТИ и ВАСИ было поровну денег.Когда ПЕТЯ потратил на покупку книг 400р. а ВАСЯ 200р, то у ВАСИ осталось денег в 5 раз больше,чем у ПЕТИ.Сколько денег было у каждого из них вначале?

Answer 1

Х денег было у каждого
х-400 осталось у Пети
х-200 осталось у Васи
(х-400)×5=х-200
5х-2000=х-200
5х-х=2000-200
4х=1800
х=1800÷4
х=450

изначально у каждого было по 450 рублей

Answer 2

Problem Analysis

We are given that Petia and Vasia had an equal amount of money. When Petia spent 400 rubles on books and Vasia spent 200 rubles, Vasia had 5 times more money left than Petia. We need to find out how much money each of them had initially.

Solution

Let's assume that both Petia and Vasia had x rubles initially.

According to the given information: - Petia spent 400 rubles, so he had x - 400 rubles left. - Vasia spent 200 rubles, so he had x - 200 rubles left. - Vasia had 5 times more money left than Petia, so we can write the equation: x - 200 = 5(x - 400).

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

Solving the Equation

Expanding the equation: x - 200 = 5x - 2000

Simplifying the equation: 4x = 1800

Dividing both sides by 4: x = 450

Answer

Therefore, Petia and Vasia initially had 450 rubles each.