Question

Купили 4 кг одних конфет,за которые уплатили 52 тыс. руб., и еще других конфет по 16 тыс. руб. за килограмм. Найдите,сколько купили других конфет,учитывая,что средняя цена килограмма конфет оказалось равной 14 тыс. руб.

Answer 1

пусть х кг купили вторых конфет

16х тыс руб заплатили за вторые конфеты

т.к средняя цена кг конфет 14 тыс руб, составляем уравнение

14=(52+16х)/(4+х)

14(4+х)=52+16х

56+14х=52+16х

4=2х

х=2 кг купили вторых конфет

 

Answer 2

1)52*4=208 тыс руб заплатили за 4кг

х -кг купили других конфет

16х- тыс руб заплатили за другие конфеты

 

(16х+52):(4+х)=14

16х+52=14(4+х)

16х+52=56+14х

2х=4

х=2

ответ 2 кг других конфет

Answer 3

Problem Analysis

To solve this problem, we need to find the quantity of the second type of candy purchased, given that the average price per kilogram of candy is 14,000 rubles. We are given that 4 kilograms of the first type of candy were purchased for 52,000 rubles, and the second type of candy was purchased for 16,000 rubles per kilogram.

Solution

Let's assume the quantity of the second type of candy purchased is x kilograms.

The total cost of the first type of candy is 52,000 rubles for 4 kilograms, which means the price per kilogram is 52,000 / 4 = 13,000 rubles.

We are also given that the average price per kilogram of candy is 14,000 rubles. This means that the total cost of both types of candy is (4 * 13,000) + (x * 16,000) rubles.

Setting up the equation: (4 * 13,000) + (x * 16,000) = (4 + x) * 14,000

Simplifying the equation: 52,000 + 16,000x = 56,000 + 14,000x

Rearranging the equation: 16,000x - 14,000x = 56,000 - 52,000 2,000x = 4,000 x = 4,000 / 2,000 x = 2

Therefore, 2 kilograms of the second type of candy were purchased.

Answer

The quantity of the second type of candy purchased is 2 kilograms.