Question

В магазине до обеда было продано 4/11 всех апельсинов, а после обеда 5/6 остатка.После этого в магазине осталось на 187 кг меньше, чем было продано до обеда.На следующий день за первый час работы магазин продал 1/11 оставшихся апельсинов.Сколько кг апельсинов осталось после этого? Пожалуйста, помогите!!!

Answer 1

Х-было в начале дня
4/11х-продали до обеда
х-4/11х=7/11х-осталось в обед
5/6*7/11х=35/66х-продали после обеда
4/11х+35/66х=24/66х+35/66х=59/66х-продали за день
х-59/66х=7/66х-осталось в конце дня

4/11х-7/66х=187
24/66х-7/66х=187
17/66х=187
х=187:17/66=187*66/17=11*66=726кг было в начале дня

726*7/66=11*7=77кг-осталось в конце дня

1-1/11=10/11-осталось после часа торговли второго дня

77*10/11=7*10=70кг осталось

Answer 2

Problem Analysis

To solve this problem, we need to calculate the amount of oranges that remained after the given transactions. Let's break down the information provided:

- Before lunch, 4/11 of all oranges were sold. - After lunch, 5/6 of the remaining oranges were sold. - After the sales, there were 187 kg less oranges in the store than before lunch. - The next day, in the first hour of work, 1/11 of the remaining oranges were sold.

We need to determine the amount of oranges that remained after all these transactions.

Solution

Let's start by assigning variables to the unknown quantities: - Let `x` be the total weight of oranges before lunch. - Let `y` be the weight of oranges remaining after lunch. - Let `z` be the weight of oranges remaining after the next day's sales.

Based on the given information, we can set up the following equations:

1. Before lunch, 4/11 of all oranges were sold: - The weight of oranges sold before lunch = (4/11) * x

2. After lunch, 5/6 of the remaining oranges were sold: - The weight of oranges remaining after lunch = (1 - 5/6) * y

3. After the sales, there were 187 kg less oranges in the store than before lunch: - The weight of oranges remaining after lunch = x - 187

4. The next day, in the first hour of work, 1/11 of the remaining oranges were sold: - The weight of oranges remaining after the next day's sales = (1 - 1/11) * z

We can now solve these equations to find the value of `z`, which represents the weight of oranges remaining after the next day's sales.

Calculation

Let's solve the equations step by step:

1. From equation 1, we have: - The weight of oranges sold before lunch = (4/11) * x

2. From equation 2, we have: - The weight of oranges remaining after lunch = (1 - 5/6) * y

3. From equation 3, we have: - The weight of oranges remaining after lunch = x - 187

4. From equation 4, we have: - The weight of oranges remaining after the next day's sales = (1 - 1/11) * z

Now, let's substitute the values from equations 1, 2, and 3 into equation 4:

(1 - 1/11) * z = (1 - 5/6) * (x - 187)

Simplifying the equation:

(10/11) * z = (1/6) * (x - 187)

To solve for `z`, we need to know the values of `x` and `y`. However, the given information does not provide these values. Therefore, it is not possible to determine the weight of oranges remaining after the next day's sales with the given information.

Please provide the values of `x` and `y` to proceed with the calculation.