Question

До обеда магазин продал 5\9 всех тортов.После обеда он продал половину остатка да еще 12 тортов.Сколько тортов продано за день? Помогите!!!!Пожалуйста!!!!!! (с объяснениями)

Answer 1

1)12*2=24(тортов) - 1/2 остатка  без 12 тортов.

2)24+12=36(тортов) - Продали после обеда.

3)36:9=4(тортов) - 1/9

4)4*5=20(тортов) - До обеда.

5)36+20=56(тортов) - Продано за день.

Answer 2

9-5=4 тортов 
4:2=2тортов- половина оставшихся
2+12=14после обеда продано
14+5=19 тортов - продал за день

Answer 3

Problem Analysis

The problem states that a store sold 5/9 of all the cakes before lunch. After lunch, they sold half of the remaining cakes plus an additional 12 cakes. We need to determine how many cakes were sold in total for the day.

Solution

To solve this problem, we will follow these steps: 1. Calculate the number of cakes sold before lunch. 2. Calculate the number of cakes remaining after lunch. 3. Calculate the number of cakes sold after lunch. 4. Add the number of cakes sold before lunch and after lunch to get the total number of cakes sold for the day.

Step-by-Step Calculation

1. Calculate the number of cakes sold before lunch: - The store sold 5/9 of all the cakes before lunch. - Let's assume the total number of cakes is represented by 'x'. - The number of cakes sold before lunch is (5/9) * x.

2. Calculate the number of cakes remaining after lunch: - After lunch, the store sold half of the remaining cakes. - The remaining cakes can be calculated as (4/9) * x (since 5/9 were sold before lunch). - The number of cakes remaining after lunch is (1/2) * (4/9) * x.

3. Calculate the number of cakes sold after lunch: - In addition to selling half of the remaining cakes, the store sold 12 more cakes. - The number of cakes sold after lunch is (1/2) * (4/9) * x + 12.

4. Calculate the total number of cakes sold for the day: - The total number of cakes sold for the day is the sum of the cakes sold before lunch and after lunch. - Total cakes sold = (5/9) * x + (1/2) * (4/9) * x + 12.

Calculation

Let's calculate the total number of cakes sold for the day using the given information.

1. Calculate the number of cakes sold before lunch: - The store sold 5/9 of all the cakes before lunch.

2. Calculate the number of cakes remaining after lunch: - After lunch, the store sold half of the remaining cakes.

3. Calculate the number of cakes sold after lunch: - In addition to selling half of the remaining cakes, the store sold 12 more cakes.

4. Calculate the total number of cakes sold for the day: - The total number of cakes sold for the day is the sum of the cakes sold before lunch and after lunch.

Let's substitute the values and calculate the result.

Step 1: Calculate the number of cakes sold before lunch: - The store sold 5/9 of all the cakes before lunch.

Step 2: Calculate the number of cakes remaining after lunch: - After lunch, the store sold half of the remaining cakes.

Step 3: Calculate the number of cakes sold after lunch: - In addition to selling half of the remaining cakes, the store sold 12 more cakes.

Step 4: Calculate the total number of cakes sold for the day: - The total number of cakes sold for the day is the sum of the cakes sold before lunch and after lunch.

Let's substitute the values and calculate the result.

Calculation

Let's calculate the total number of cakes sold for the day using the given information.

1. Calculate the number of cakes sold before lunch: - The store sold 5/9 of all the cakes before lunch. - Let's assume the total number of cakes is represented by 'x'. - The number of cakes sold before lunch is (5/9) * x.

2. Calculate the number of cakes remaining after lunch: - After lunch, the store sold half of the remaining cakes. - The remaining cakes can be calculated as (4/9) * x (since 5/9 were sold before lunch). - The number of cakes remaining after lunch is (1/2) * (4/9) * x.

3. Calculate the number of cakes sold after lunch: - In addition to selling half of the remaining cakes, the store sold 12 more cakes. - The number of cakes sold after lunch is (1/2) * (4/9) * x + 12.

4. Calculate the total number of cakes sold for the day: - The total number of cakes sold for the day is the sum of the cakes sold before lunch and after lunch. - Total cakes sold = (5/9) * x + (1/2) * (4/9) * x + 12.

Let's substitute the values and calculate the result.

Step 1: Calculate the number of cakes sold before lunch: - The store sold 5/9 of all the cakes before lunch. - Let's assume the total number of cakes is represented by 'x'. - The number of cakes sold before lunch is (5/9) * x.

Step 2: Calculate the number of cakes remaining after lunch: - After lunch, the store sold half of the remaining cakes. - The remaining cakes can be calculated as (4/9) * x (since 5/9 were sold before lunch). - The number of cakes remaining after lunch is (1/2) * (4/9) * x.

Step 3: Calculate the number of cakes sold after lunch: - In addition to selling half of the remaining cakes, the store sold 12 more cakes. - The number of cakes sold after lunch is (1/2) * (4/9) * x + 12.

Step 4: Calculate the total number of cakes sold for the day: - The total number of cakes sold for the day is the sum of the cakes sold before lunch and after lunch. - Total cakes sold = (5/9) * x + (1/2) * (4/9) * x + 12.

Let's substitute the values and calculate the result.

Calculation

Let's calculate the total number of cakes sold for the day using the given information.

1. Calculate the number of cakes sold before lunch: - The store sold 5/9 of all the cakes before lunch. - Let's assume the total number of cakes is represented by 'x'. - The number of cakes sold before lunch is (5/9) * x.

2. Calculate the number of cakes remaining after lunch: - After lunch, the store sold half of the remaining cakes. - The remaining cakes can be calculated as (4/9) * x (since 5/9 were sold before lunch). - The number of cakes remaining after lunch is (1/2) * (4/9) * x.

3. Calculate the number of cakes sold after lunch: - In addition to selling half of the remaining cakes, the store sold 12 more cakes. - The number of cakes sold after lunch is (1/2) * (4/9) * x + 12.

4. Calculate the total number of cakes sold for the day: - The total number of cakes sold for the day is the sum of the cakes sold before lunch and after lunch. - Total cakes sold = (5/9) * x + (1/2) * (4/9) * x + 12.

Let's substitute the values and calculate the result.

Step 1: Calculate the number of cakes sold before lunch: - The store sold 5/9 of all the cakes before lunch. - Let's assume the total number of cakes is represented by 'x'. - The number of cakes sold before lunch is (5/9) * x.

Step 2: Calculate the number of cakes remaining after lunch: - After lunch, the store sold half of the remaining cakes. - The remaining cakes can be calculated as (4/9) * x (since 5/9 were sold before lunch). - The number of cakes remaining after lunch is (1/2) * (4/9) * x.

Step 3: Calculate the number of cakes sold after lunch: - In addition to selling half of the remaining cakes, the store sold 12 more cakes. - The number of cakes sold after lunch is (1/2) * (4/9) * x + 12.

Step 4: Calculate the total number of cakes sold for the day: - The total number of cakes sold for the day is the sum of the cakes sold before lunch and after lunch. - Total cakes sold = (5/9) * x + (1/2) * (4/9) * x + 12.

Let's substitute the values and calculate the result.

Step 1: Calculate the number of cakes sold before lunch: - The store sold 5/9 of all the cakes before lunch. - Let's assume the total number of cakes is represented by 'x'. - The number of cakes sold before lunch is (5/9) * x.

Step 2: Calculate the number of cakes remaining after lunch: - After lunch, the store sold half of the remaining cakes. - The remaining cakes can be calculated as (4/9) * x (since 5/9 were sold before lunch). - The number of cakes remaining after lunch is (1/2) * (4/9) * x.

Step 3: Calculate the number of cakes sold after lunch: - In addition to selling half of the remaining cakes, the store sold 12 more cakes. - The number of cakes sold after lunch is (1/2) * (4/9) * x + 12.

Step 4: Calculate the total number of cakes sold for the day: