Question

Ви придбали товар на певну суму s. Скільки купюр різного номіналу треба віддати продавцю, якщо починати платити з найбільших? У вас є 1, 2, 5, 10, 100, 500 гривень.

Answer 1

Calculating the Number of Banknotes to Pay the Seller

To calculate the number of banknotes of different denominations needed to pay the seller, we will start by using the largest denomination and work our way down. In this case, the available denominations are 1, 2, 5, 10, 100, and 500 hryvnias.

Let's assume the total amount to be paid is s hryvnias. We will start by paying with the largest denomination, which is 500 hryvnias, and continue with the next largest denominations until the total amount is reached.

Here's how we can calculate the number of banknotes for each denomination:

1. Divide the total amount by the denomination to get the number of banknotes needed. 2. Take the whole number part of the division result and discard the decimal part. 3. Subtract the product of the whole number and the denomination from the total amount. 4. Repeat steps 1-3 for each denomination, starting with the largest and moving to the smallest.

Let's calculate the number of banknotes for each denomination using this method.

Calculation Example

Let's assume the total amount to be paid is s = 1234 hryvnias.

1. 500 hryvnias: - Number of banknotes: 1234 / 500 = 2 (whole number part) - Remaining amount: 1234 - (2 * 500) = 234 hryvnias

2. 100 hryvnias: - Number of banknotes: 234 / 100 = 2 (whole number part) - Remaining amount: 234 - (2 * 100) = 34 hryvnias

3. 10 hryvnias: - Number of banknotes: 34 / 10 = 3 (whole number part) - Remaining amount: 34 - (3 * 10) = 4 hryvnias

4. 5 hryvnias: - Number of banknotes: 4 / 5 = 0 (whole number part) - Remaining amount: 4 - (0 * 5) = 4 hryvnias

5. 2 hryvnias: - Number of banknotes: 4 / 2 = 2 (whole number part) - Remaining amount: 4 - (2 * 2) = 0 hryvnias

6. 1 hryvnia: - Number of banknotes: 0 / 1 = 0 (whole number part) - Remaining amount: 0 - (0 * 1) = 0 hryvnias

Summary

To pay a total amount of 1234 hryvnias using the available denominations of 1, 2, 5, 10, 100, and 500 hryvnias, you would need the following banknotes:

- 2 banknotes of 500 hryvnias - 2 banknotes of 100 hryvnias - 3 banknotes of 10 hryvnias - 2 banknotes of 2 hryvnias

Please note that in this example, there is no need for 1 hryvnia banknotes as the remaining amount is 0 hryvnias.

I hope this helps! Let me know if you have any further questions.