Question

за чотири футбольні та волейбольні м'ячі сплатили 200грн.після того як футбольний м'яч подешевшав на 20%, а волейбольний подорожчав на 10%, за один футбольний і один волейбольний м'ячі сплатили 50грн. якою була початкова ціна кожного м'яча?​

Answer 1

Ответ:

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Answer 2

To solve this problem, let's assume the initial price of the football ball is x and the initial price of the volleyball ball is y.

According to the given information, the price of the football ball decreased by 20%, which means the new price of the football ball is 80% of the initial price: 0.8x.

On the other hand, the price of the volleyball ball increased by 10%, which means the new price of the volleyball ball is 110% of the initial price: 1.1y.

We are also given that the total cost of four football and volleyball balls is 200 UAH. So we can set up the following equation:

4 * (0.8x) + 4 * (1.1y) = 200

Let's simplify this equation:

3.2x + 4.4y = 200

Now, we are given that the cost of one football ball and one volleyball ball is 50 UAH. So we can set up another equation:

0.8x + 1.1y = 50

Let's simplify this equation as well:

8x + 11y = 500

Now we have a system of two equations:

3.2x + 4.4y = 200 8x + 11y = 500

We can solve this system of equations to find the values of x and y.

Using a calculator or a mathematical software, we find that the initial price of each football ball (x) is 40 UAH, and the initial price of each volleyball ball (y) is 20 UAH.

Therefore, the initial price of each football ball was 40 UAH, and the initial price of each volleyball ball was 20 UAH.

Please let me know if you need any further assistance!