Question

Для компота купили фрукты. Из них яблоки составляют 7 частей, груши - 4 части, а абрикосы- 3 части. Груш на 1 7/20 кг меньше, чем яблок. Сколько килограммов фруктов купили для компота?

Answer 1

яблоки - 7х

груши - 4х

абрикосы - 3х

$\\ 7x - 4x=\frac{27}{20} \\ 60x=27 \\ x=\frac{9}{20} \\ 7x+4x+3x=14x \\ 14\cdot\frac{9}{20}=\frac{7\cdot9}{10}=6.3$

Answer 2

Problem Analysis

To solve this problem, we need to determine the total weight of the fruits purchased for making compote. We are given that apples make up 7 parts, pears make up 4 parts, and apricots make up 3 parts. Additionally, we know that the weight of pears is 1 7/20 kg less than the weight of apples.

Solution

Let's assume the weight of apples is x kg. According to the given information, the weight of pears is 1 7/20 kg less than the weight of apples. Therefore, the weight of pears can be expressed as (x - 1 7/20) kg.

We are also given that apples make up 7 parts, pears make up 4 parts, and apricots make up 3 parts. Since the total number of parts is 7 + 4 + 3 = 14, we can set up the following equation:

x + (x - 1 7/20) + (3/14)(x) = total weight of fruits

Simplifying the equation, we get:

14x + 14(x - 1 7/20) + 3x = total weight of fruits

Solving for x, we can find the weight of apples. Then, we can calculate the total weight of fruits by substituting the value of x into the equation.

Calculation

Let's calculate the weight of apples and the total weight of fruits using the given information.

Weight of apples (x) = 1 7/20 + 1 = 1 27/20 kg

Total weight of fruits = 14(1 27/20) + 14(1 27/20 - 1 7/20) + 3(1 27/20) = 14(1 27/20) + 14(20/20) + 3(1 27/20) = 14(1 27/20) + 14 + 3(1 27/20) = 14(1 27/20 + 1 + 3/20) = 14(2 27/20) = 14(2 + 7/20) = 14(2 7/20) = 14(2.35) = 32.9 kg

Therefore, the total weight of fruits purchased for making compote is 32.9 kg.

Answer

The total weight of fruits purchased for making compote is 32.9 kg.