Question

За 5 кг яблок и 5 кг абрикосов заплатили 600 руб. Абрикосы в 2 раза дороже яблок. Сколько килограммов абрикосов можно купить на 240 руб.?

Answer 1

х - цена 1 кг яблок,   2х - цена 1 кг абрикосов    

5х + 5*2х = 600

15х = 600

х = 600 : 15

х = 40 (руб) - цена  1 кг яблок

40 * 2 = 80 (руб) - цена 1 кг абрикосов

240 : 80 = 3 (кг)- столько абрикосов можно купить 

Answer 2

Problem Analysis

To solve this problem, we need to determine the weight of apricots that can be purchased for 240 rubles, given that apricots are twice as expensive as apples and that 5 kg of apples and 5 kg of apricots were purchased for 600 rubles.

Solution

Let's assume the cost of 1 kg of apples is x rubles. Since apricots are twice as expensive as apples, the cost of 1 kg of apricots would be 2x rubles.

According to the given information, 5 kg of apples and 5 kg of apricots were purchased for 600 rubles. We can set up the following equation to represent this:

5x + 5(2x) = 600

Simplifying the equation:

5x + 10x = 600 15x = 600 x = 40

Therefore, the cost of 1 kg of apples is 40 rubles, and the cost of 1 kg of apricots is 2 * 40 = 80 rubles.

Now, we need to determine how many kilograms of apricots can be purchased for 240 rubles. We can set up the following equation:

80 * y = 240

Simplifying the equation:

y = 240 / 80 y = 3

Therefore, 3 kg of apricots can be purchased for 240 rubles.

Answer

You can buy 3 kilograms of apricots for 240 rubles.