
Покупатель потратил пятую часть своих денег и половину остального. после этого у него осталось 200
р. сколько денег было у него в начале. ответ за 5 класс

Ответы на вопрос




2/5Х = 200
Х = 500Таким образом, покупатель вначале имел 500 рублей. Думаю, что правильно :)



Problem Analysis
A buyer spent one-fifth of their money and half of the remaining amount. After this, they had 200 rubles left. We need to determine how much money the buyer had initially.Solution
Let's break down the problem step by step:1. The buyer spent one-fifth of their money. 2. After spending one-fifth, the buyer had four-fifths of their money remaining. 3. The buyer then spent half of the remaining amount. 4. After this second expenditure, the buyer had 200 rubles left.
To find the initial amount of money the buyer had, we can work backward from the final amount of 200 rubles.
Let's denote the initial amount of money as x.
1. The buyer spent one-fifth of x, which is x/5. 2. After this expenditure, the buyer had four-fifths of x remaining, which is 4x/5. 3. The buyer then spent half of the remaining amount, which is (4x/5)/2 or 2x/5. 4. After this second expenditure, the buyer had 200 rubles left.
We can now set up an equation to solve for x:
4x/5 - 2x/5 = 200
Simplifying the equation:
2x/5 = 200
Multiplying both sides of the equation by 5/2 to isolate x:
x = 200 * (5/2)
Simplifying further:
x = 500
Therefore, the buyer initially had 500 rubles.
Answer
The buyer initially had 500 rubles.

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