Question

Помогите с задачей За четыре дня чиновник прочитал по электронной почте 150 писем и ответил на них. Во вторник этих писем было в 3 раза больше, чем в понедельник. В среду их было столько же, сколько за два предыдущих дня вместе. В четверг количество писем сократилось до 30. 1.Сколько писем было обработано в каждый из дней? 2.Сколько писем было обработано в среднем за день с понедельника по четверг? (Через линейное уравнение надо, и за все дни он прочитал 150!)

Answer 1

Пусть х писем он прочитал в пн, тогда во вт 3х, а в ср 3х+х
1) х+3х+4х+ 30= 150
    8х+30=150
    8х=120
    х=15 (прочитал в пн)
тогда во вт 15*3=45
в ср 45+15=60
в чт 30
2) (15+45+60+30):4 =37,5

Answer 2

Task Analysis

To solve this problem, we need to determine the number of emails processed each day based on the given information. We are also asked to calculate the average number of emails processed per day from Monday to Thursday.

Given Information

- On Monday, the number of emails processed was one-third of the number on Tuesday. - On Wednesday, the number of emails processed was the same as the combined total of the previous two days. - On Thursday, the number of emails processed was 30.

Solution

Let's break down the information and solve the problem step by step.

1. Monday: - The number of emails processed on Monday is one-third of the number on Tuesday. - Let's assume the number of emails processed on Tuesday is x. - Therefore, the number of emails processed on Monday is x/3.

2. Tuesday: - The number of emails processed on Tuesday is three times the number on Monday. - Therefore, the number of emails processed on Tuesday is 3(x/3) = x.

3. Wednesday: - The number of emails processed on Wednesday is the same as the combined total of the previous two days. - Therefore, the number of emails processed on Wednesday is x + (x/3) = (4x/3).

4. Thursday: - The number of emails processed on Thursday is given as 30.

Now, we can solve for x by equating the number of emails processed on Thursday to 30.

5. Equating Thursday's emails to 30: - (4x/3) = 30 - Multiplying both sides by 3/4 to isolate x: - x = (3/4) * 30 - x = 22.5

Now that we have the value of x, we can calculate the number of emails processed each day.

6. Calculating the number of emails processed each day: - Monday: x/3 = 22.5/3 = 7.5 - Tuesday: x = 22.5 - Wednesday: (4x/3) = (4 * 22.5)/3 = 30 - Thursday: 30

7. Calculating the average number of emails processed per day from Monday to Thursday: - Total number of emails processed from Monday to Thursday = Monday + Tuesday + Wednesday + Thursday - Total number of emails processed = 7.5 + 22.5 + 30 + 30 = 90 - Number of days = 4 (Monday to Thursday) - Average number of emails processed per day = Total number of emails processed / Number of days - Average number of emails processed per day = 90 / 4 = 22.5

Answer

Based on the given information, the number of emails processed each day is as follows: - Monday: 7.5 emails - Tuesday: 22.5 emails - Wednesday: 30 emails - Thursday: 30 emails

The average number of emails processed per day from Monday to Thursday is 22.5 emails.

Please let me know if you need any further assistance!