Question

За 1 час продано 84% всего мороженного. За 2 час 78% остатка, а за 3 час остальные 44 пачки. Сколько всего пачек мороженного было

Answer 1

Problem Analysis

To solve this problem, we need to determine the total number of ice cream packages based on the given information. We are given the percentage of ice cream sold in each of the first three hours. Let's break down the information:

- In the first hour, 84% of the total ice cream was sold. - In the second hour, 78% of the remaining ice cream was sold. - In the third hour, the remaining 44 packages were sold.

We need to find the total number of ice cream packages.

Solution

Let's assume the total number of ice cream packages is x.

In the first hour, 84% of the total ice cream was sold, which means 16% of the total ice cream remained. This can be expressed as:

0.16x packages remained after the first hour.

In the second hour, 78% of the remaining ice cream was sold, which means 22% of the remaining ice cream remained. This can be expressed as:

0.22 * 0.16x packages remained after the second hour.

In the third hour, the remaining 44 packages were sold. This can be expressed as:

0.22 * 0.16x - 44 = 0.

Now, let's solve this equation to find the value of x.

0.22 * 0.16x - 44 = 0

Simplifying the equation:

0.0352x - 44 = 0

Adding 44 to both sides:

0.0352x = 44

Dividing both sides by 0.0352:

x = 44 / 0.0352

Calculating the value of x:

x ≈ 1250

Therefore, the total number of ice cream packages was approximately 1250.

Answer

The total number of ice cream packages was approximately 1250.