Question

В течении недели половину проданных электротоваров составили различные бытовые приборы, три пятые другой половины составили телевизоры, а остальные- стиральные машины. Сколько всего электротоваров было продано, если было продано 24 стиральные машины? Прошу помогите решить эту задачу.

Answer 1

24 стиральные машины это две пятых другой половины.
24/2 * 3 = 36 - телевизоры (три пятых второй половины)
36+24=60 - вторая половина проданной техники
60*2=120 - все проданные электротовары

Answer 2

Problem Analysis

We are given that within a week, half of the sold electrical goods were various household appliances, three-fifths of the other half were televisions, and the remaining were washing machines. We are also told that 24 washing machines were sold. We need to determine the total number of electrical goods sold.

Solution

Let's break down the information given in the problem step by step to find the solution.

1. Half of the sold electrical goods were various household appliances. 2. Three-fifths of the other half were televisions. 3. The remaining were washing machines. 4. 24 washing machines were sold.

To find the total number of electrical goods sold, we need to determine the number of household appliances and televisions sold.

Let's start by finding the number of household appliances sold.

1. Half of the sold electrical goods were various household appliances. - This means that the number of household appliances sold is half of the total number of electrical goods sold.

Next, let's find the number of televisions sold.

2. Three-fifths of the other half were televisions. - This means that the number of televisions sold is three-fifths of the number of electrical goods that were not household appliances.

Finally, let's calculate the total number of electrical goods sold.

3. The remaining were washing machines. - This means that the number of washing machines sold is the difference between the total number of electrical goods sold and the sum of household appliances and televisions sold.

We are given that 24 washing machines were sold. Let's use this information to find the total number of electrical goods sold.

Calculation

Let's denote the total number of electrical goods sold as x.

1. Number of household appliances sold: x/2 2. Number of televisions sold: (x - x/2) * (3/5) 3. Number of washing machines sold: 24

To find the total number of electrical goods sold, we can sum up the number of household appliances, televisions, and washing machines sold:

x = x/2 + (x - x/2) * (3/5) + 24

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

Solution

To solve the equation x = x/2 + (x - x/2) * (3/5) + 24, we can follow these steps:

1. Multiply through by 10 to eliminate the fractions: 10x = 5x + (10 - 5)x * (3/5) + 240 2. Simplify the equation: 10x = 5x + 3x + 240 3. Combine like terms: 10x = 8x + 240 4. Subtract 8x from both sides: 2x = 240 5. Divide both sides by 2: x = 120

Therefore, the total number of electrical goods sold is 120.

Answer

If 24 washing machines were sold, the total number of electrical goods sold is 120.