Question

Пожалуйста помогите решить задачу с математики а) Дві людини вирушили на базар продавати яблука. У них було по 30 яблук. Один збирався продавати 2 яблука за 1 грн., А інший - 3 яблука за 1 грн. Перед початком торгівлі одного з них викликали додому, і він попросив іншого продавця продати його яблука. Той став продавати 5 яблук за 2 грн. Якби вони торгували окремо, то виручили б 10 грн. і 15 грн., а, продаючи 5 яблук за 2 грн., отримали 24 грн. Куди зникла гривна? б) За якою ціною треба продавати суміш яблук?

Answer 1

Смесь яблок надо продавать по 5 грн

Answer 2

Problem Analysis

The problem involves two people selling apples at different rates and then one person asking the other to sell their apples. The total revenue obtained by selling the apples separately is compared to the revenue obtained when selling the combined apples. The goal is to determine where the missing money went. Additionally, the problem asks for the price at which a mixture of apples should be sold.

Solution

a) Let's analyze the problem step by step:

1. Initially, both sellers had 30 apples each, so the total number of apples was 60. 2. The first seller planned to sell 2 apples for 1 UAH, while the second seller planned to sell 3 apples for 1 UAH. 3. Before starting the trade, one of the sellers was called home and asked the other seller to sell their apples. 4. The remaining seller decided to sell 5 apples for 2 UAH.

Now, let's calculate the revenue obtained by selling the apples separately and the revenue obtained by selling the combined apples.

Revenue obtained by selling the apples separately: - The first seller would have sold 2 apples for 1 UAH, which means they would have earned 15 UAH (30 apples / 2 * 1 UAH). - The second seller would have sold 3 apples for 1 UAH, which means they would have earned 10 UAH (30 apples / 3 * 1 UAH). - Therefore, the total revenue obtained by selling the apples separately would have been 25 UAH (15 UAH + 10 UAH).

Revenue obtained by selling the combined apples: - The remaining seller sold 5 apples for 2 UAH, which means they earned 12 UAH (5 apples / 2 * 2 UAH).

Comparing the two scenarios: - The total revenue obtained by selling the apples separately would have been 25 UAH. - The revenue obtained by selling the combined apples was 12 UAH.

The difference between the two scenarios is 13 UAH (25 UAH - 12 UAH). Therefore, 13 UAH is the missing money.

b) To determine the price at which the mixture of apples should be sold, we need to consider the total revenue obtained by selling the combined apples. In this case, the revenue obtained by selling 5 apples for 2 UAH was 12 UAH.

Let's calculate the price at which the mixture of apples should be sold: - If 5 apples were sold for 2 UAH, then 1 apple would be sold for (2 UAH / 5 apples) = 0.4 UAH. - Therefore, the mixture of apples should be sold at a price of 0.4 UAH per apple.

Conclusion

a) The missing money is 13 UAH. b) The mixture of apples should be sold at a price of 0.4 UAH per apple.

Please let me know if there's anything else I can help you with!