5. The Ivanovs' income as of the beginning of June:

$$
105000+52200+33345+9350+70000=269895 \text { rubles }
$$
Answer: 269895 rubles

## Evaluation Criteria:

Maximum score - 20, if everything is solved absolutely correctly, the logic of calculations is observed, and the answer is recorded correctly.

## 20 points, including:

6 points - the final deposit amount is calculated correctly;

4 points - the size of the mother's salary and bonus is calculated correctly;

4 points - the cost of the monetary gift, taking into account the exchange rate of the dollar, is calculated correctly;

2 points - the size of the pension after indexing is calculated correctly;

4 points - the family's income on the relevant date is calculated correctly.

If the logic of calculations is observed, the student thinks correctly, but arithmetic errors are made, then -1 point for each error.

## Problem 3

To attract buyers, sales advertisements often state: "Discount up to 50%!" When a customer comes to the store, they often see that the advertisement was honest, but at the same time, it did not meet their expectations.

Explain the reason for this discrepancy?

## Suggested Answer:

A customer might choose to shop at this store, expecting a significant discount and the ability to save a lot of money.

However, by stating a discount "up to 50%," the seller can actually reduce the price by any amount (even just 1%), which might clearly not satisfy the customer.

## Maximum 15 points

15 points - fully correct reasoning, the key phrase "up to" is mentioned

10 points - the participant leads the reasoning, several options are mentioned, but without the key phrase "up to"

5 points - one option about the intentional price increase is mentioned

## Problem 4

Maria Ivanovna, a single pensioner, has two small kitchen appliances that have broken down: a blender and a meat grinder. She plans to purchase two new appliances in the coming month and has already decided on the models. In the store "Technic-City," a blender costs 2000 rubles, and a meat grinder costs 4000 rubles. However, the store offers a 10% discount on the entire purchase when buying two or more small household appliances. The store "Technomarket" offers to credit 20% of the purchase amount to the customer's store card, which can be used in full within a month for the next purchase of household appliances. In this store, a blender is sold for 1500 rubles, and a meat grinder for 4800 rubles. Suggest the most cost-effective option for Maria Ivanovna and calculate how much money she will spend.

## Solution:

Maria Ivanovna should consider the following purchase options: