Question

Помогите решить задачу!При подготовке к олимпиаде Миша решал задачи. За первую неделю он решил 55% всех задач, во вторую пять девятых остатка, в третью 36 задач. Сколько всего задач решил Миша?

Answer 1

1) 9/9 - 5/9 = 4/9 остатка за 3 неделю, т.е. 36 задач это 4/9
2) 36 : 4 * 9 = 81 это задач в остатке
3) 100% - 55% = 45% = 0,45
4) 81 : 0,45 = 180 задач было всего
Проверим: 180 * 0,55 = 99 - 180 = 81 остаток * 5 : 9 = 45 это 5/9 от остатка 
99 - 1 неделя
45 - 2 неделя
36 - 3 неделя
99 + 45 + 36 = 180 

Answer 2

Problem Analysis

To solve this problem, we need to calculate the total number of problems that Misha solved during the preparation for the Olympiad. We are given the following information: - In the first week, Misha solved 55% of all the problems. - In the second week, he solved five-ninths of the remaining problems. - In the third week, he solved 36 problems.

Let's break down the problem step by step and calculate the total number of problems Misha solved.

Solution

Step 1: Calculate the number of problems Misha solved in the first week. - Misha solved 55% of all the problems. - Let's assume the total number of problems is represented by 'x'. - The number of problems Misha solved in the first week is 55% of 'x'. - Mathematically, this can be represented as 0.55 * x.

Step 2: Calculate the number of problems remaining after the first week. - After the first week, Misha still has some problems left to solve. - The number of problems remaining is (100% - 55%) of 'x'. - Mathematically, this can be represented as 0.45 * x.

Step 3: Calculate the number of problems Misha solved in the second week. - Misha solved five-ninths of the remaining problems. - The number of problems Misha solved in the second week is (5/9) of the remaining problems. - Mathematically, this can be represented as (5/9) * (0.45 * x).

Step 4: Calculate the number of problems remaining after the second week. - After the second week, Misha still has some problems left to solve. - The number of problems remaining is the remaining problems after the first week minus the problems solved in the second week. - Mathematically, this can be represented as (0.45 * x) - ((5/9) * (0.45 * x)).

Step 5: Calculate the number of problems Misha solved in the third week. - Misha solved 36 problems in the third week.

Step 6: Calculate the total number of problems Misha solved. - The total number of problems Misha solved is the sum of the problems solved in the first, second, and third weeks. - Mathematically, this can be represented as 0.55 * x + (5/9) * (0.45 * x) + 36.

Let's calculate the total number of problems Misha solved.

Calculation

- Let's assume the total number of problems is 'x'. - The total number of problems Misha solved is 0.55 * x + (5/9) * (0.45 * x) + 36.

Answer

Misha solved a total of 0.55 * x + (5/9) * (0.45 * x) + 36 problems during the preparation for the Olympiad.

Note: We don't have the exact value of 'x' to calculate the total number of problems Misha solved. If you provide the value of 'x', I can help you calculate the answer.