Question

Для покупки 8 воздушных шариков у Тани не хватает 200 руб. Если она купит 5 шариков, то у нее останется 1000 рублей. Сколько денег было у Тани? Сколько стоит один шарик?

Answer 1

8-5=3 шара- разница между 8 и 5 шарами
1000+200=1200 рублей-стоимость 3 шаров
1200:3=400 рублей-цена 1 шара
400*5+1000=3000 рублей
Ответ: 1 шарик стоит 400 рублей, у Тани было 3000 рублей

Answer 2

Решение

Давайте рассмотрим данную задачу.

Пусть x - количество денег у Тани до покупки шариков, а y#### Problem Analysis

To solve this problem, we need to determine how much money Tanya had initially and the cost of one balloon. We are given two pieces of information: - Tanya is short of 200 rubles to buy 8 balloons. - If she buys 5 balloons, she will have 1000 rubles left.

Let's use algebra to solve for the initial amount of money Tanya had and the cost of one balloon.

Solution

Let's assume that the initial amount of money Tanya had is x rubles, and the cost of one balloon is y rubles.

From the given information, we can set up two equations:

1. Tanya is short of 200 rubles to buy 8 balloons: - 8y - x = 200 2. If she buys 5 balloons, she will have 1000 rubles left: - x - 5y = 1000 To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

From equation we can express x in terms of y: - x = 5y + 1000

Substituting this expression for x in equation we get: - 8y - (5y + 1000) = 200 - 8y - 5y - 1000 = 200 - 3y - 1000 = 200 - 3y = 1200 - y = 400

Now that we have the value of y, we can substitute it back into equation to find the value of x: - x - 5(400) = 1000 - x - 2000 = 1000 - x = 3000

Therefore, Tanya initially had 3000 rubles and the cost of one balloon is 400 rubles.

Answer

Tanya initially had 3000 rubles and the cost of one balloon is 400 rubles.