3. (15 points) Purchase a meat grinder at "Technomarket" first, as it is more expensive than a, which means the highest bonuses can be earned on it, and then purchase a blender using the accumulated bonuses. In this case, she will spend $4800 + 1500 - 4800 * 0.2 = 5340$ rubles. This is the most profitable way to make the purchase.

## Maximum 30 points

## Problem 5

Schoolboy Vanechka informed his parents that he is already an adult and can manage his finances independently. His mother suggested he use an additional card issued to her bank account. Vanya needed to buy 100 large chocolate bars for organizing and conducting a quiz at the New Year's party. However, the card has a protection system that analyzes the last 5 purchases, determines their average value, and compares it with the planned purchase amount. If the planned purchase exceeds the average by three times, the bank blocks the transaction and requires additional verification (for example, a call from his mother to the call center). Over the last month, his mother made purchases in the following amounts: 785 rubles, 2033 rubles, 88 rubles, 3742 rubles, 1058 rubles.

Calculate whether Vanechka will be able to buy the chocolate bars for the New Year's party in one transaction without calling his mother to the call center if the cost of one chocolate bar is 55 rubles?
# Solution:

The average value of the last purchases is $(785+2033+88+3742+1058) / 5 = 1541.2$ rubles. Therefore, an acceptable purchase would be no more than $1541.2 * 3 = 4623.6$ rubles. With this amount, one can buy $4623.6 / 55 \approx 84$ chocolates.

## Maximum 20 points

20 points - fully detailed solution and correct answer.

7 points - correct calculation of the average value of purchases

3 points - partial solution

## Appendix to Problem No. 1

Insurance is a system of relationships between insurers (insurance company) and insured individuals (for example, any citizen), which allows for the reduction of property risks by insuring, for example, property against possible adverse events...

Property insurance is one of the types of insurance according to the Civil Code of the Russian Federation. Real estate is one type of property. Houses, apartments, and land plots are considered real estate.

## To insure a risk: