Question

Задача В двух ящиках было 245 кг. яблок. Во втором ящике было на 15 кг. больше,чем в первом. Второй ящик стоил на 180 рублей больше первого.Сколько стоили яблоки в каждом ящике? Помогите решить пожалуйста

Answer 1

(245-15):2=230:2=115 кг яблок в 1 ящике                                                             115+15=130 кг яблок во 2 ящике                                                                     180:15=12 руб цена 1 кг яблок                                                                           115*12=1380 руб цена 1 ящика с яблоками                                                         130*12=1560 руб цена 2 ящика с яблоками

Answer 2

Problem Analysis

We are given that there are two boxes of apples, with a total weight of 245 kg. The second box weighs 15 kg more than the first box, and the second box costs 180 rubles more than the first box. We need to find the cost of the apples in each box.

Solution

Let's assume the weight of the first box is x kg. Since the second box weighs 15 kg more than the first box, the weight of the second box is (x + 15) kg.

We know that the total weight of the apples in both boxes is 245 kg. Therefore, we can write the equation:

x + (x + 15) = 245

Simplifying the equation, we get:

2x + 15 = 245

Subtracting 15 from both sides:

2x = 230

Dividing both sides by 2:

x = 115

So, the weight of the first box is 115 kg, and the weight of the second box is (115 + 15) = 130 kg.

Now, let's find the cost of the apples in each box. We are given that the second box costs 180 rubles more than the first box. Let's assume the cost of the first box is y rubles. Therefore, the cost of the second box is (y + 180) rubles.

Since the weight of the first box is 115 kg and the cost is y rubles, the cost per kilogram of apples in the first box is y/115 rubles/kg.

Similarly, the cost per kilogram of apples in the second box is (y + 180)/130 rubles/kg.

We can set up the equation:

(y/115) * 115 + ((y + 180)/130) * 130 = 245

Simplifying the equation, we get:

y + y + 180 = 245

Combining like terms:

2y + 180 = 245

Subtracting 180 from both sides:

2y = 65

Dividing both sides by 2:

y = 32.5

So, the cost of the apples in the first box is 32.5 rubles, and the cost of the apples in the second box is (32.5 + 180) = 212.5 rubles.

Answer

Therefore, the apples in the first box cost 32.5 rubles and the apples in the second box cost 212.5 rubles.

Please let me know if you need any further assistance!