Question

Решите задачу,составь обратные задачи и решите их.Купили 2,5 кг конфет по цене 660тг/кг и 1,5 кг по чене 580тг/кг.Какова стоимость всей покупки

Answer 1

660 х 2,5 = 1650 тг
580 х 1,5 = 870 тг
1650 + 870 = 2520 тг
Обратные задачи, это как?
Купили колбасы 3,6 кг по цене 2р 20 коп/кг и 5,2 кг по цене 2р 90 к/кг.
Какова стоимость покупки?

Answer 2

Problem Analysis

To solve this problem, we need to find the total cost of the candy purchase. We are given the prices per kilogram for two different quantities of candy. We can calculate the cost of each quantity separately and then add them together to find the total cost.

Solution

Let's calculate the cost of each quantity of candy first.

1. Cost of 2.5 kg of candy at 660 Tenge per kg: - Cost = 2.5 kg * 660 Tenge/kg = 1650 Tenge

2. Cost of 1.5 kg of candy at 580 Tenge per kg: - Cost = 1.5 kg * 580 Tenge/kg = 870 Tenge

Now, let's find the total cost by adding the costs of both quantities of candy:

Total cost = Cost of 2.5 kg + Cost of 1.5 kg = 1650 Tenge + 870 Tenge = 2520 Tenge

Therefore, the total cost of the candy purchase is 2520 Tenge.

Reverse Problem

Now, let's create the reverse problem based on the given solution.

Reverse Problem: The total cost of a candy purchase is 2520 Tenge. The price per kilogram for one quantity of candy is 660 Tenge, and the price per kilogram for another quantity of candy is 580 Tenge. Find the weights of each quantity of candy.

To solve this reverse problem, we can use the given solution and work backward.

1. Cost of 2.5 kg of candy at 660 Tenge per kg: - Cost = 2.5 kg * 660 Tenge/kg = 1650 Tenge

2. Cost of 1.5 kg of candy at 580 Tenge per kg: - Cost = 1.5 kg * 580 Tenge/kg = 870 Tenge

From the given solution, we can see that the cost of 2.5 kg of candy is 1650 Tenge and the cost of 1.5 kg of candy is 870 Tenge. Therefore, the weights of each quantity of candy are:

Weight of 2.5 kg of candy = 2.5 kg Weight of 1.5 kg of candy = 1.5 kg

Therefore, the weights of each quantity of candy are 2.5 kg and 1.5 kg respectively.

Conclusion

In conclusion, the total cost of the candy purchase is 2520 Tenge. The weights of each quantity of candy are 2.5 kg and 1.5 kg respectively.