Question

Осенью закупили картофель на сумму 810 р. Весной 1 кг картофеля стал стоить на 1 р. дороже, чем осенью. Поэтому на ту же сумму весной было куплено на 27 кг картофеля меньше. Сколько стоил 1 кг картофеля весной?

Answer 1

Пусть х руб цена картофеля осенью ,тогда за него заплатили 810*х руб
цена весной составила (х+1)руб. 
810-27= 783 кг купили картофеля  весной
810х=783*(х+1)
810х=783х+783
27х=783
х= 29 руб цена  картофеля осенью
х+1=29+1=30 руб цена картофеля весной

Answer 2

Calculation of Potato Price in Spring

To calculate the price of 1 kg of potatoes in the spring, we need to consider the information provided.

1. In the fall, potatoes were purchased for a total amount of 810 rubles. 2. In the spring, the price of 1 kg of potatoes increased by 1 ruble compared to the fall price. 3. Due to the price increase, 27 kg less potatoes were purchased for the same amount of money in the spring.

Let's break down the calculation step by step:

1. Calculate the fall price per kg of potatoes: - Let's assume the fall price per kg of potatoes is x rubles. - The total amount spent on potatoes in the fall is 810 rubles. - Therefore, the total weight of potatoes purchased in the fall can be calculated as: 810 rubles / x rubles/kg = y kg.

2. Calculate the spring price per kg of potatoes: - The price of 1 kg of potatoes in the spring is 1 ruble more than the fall price, so it can be expressed as: x + 1 ruble/kg. - Due to the price increase, 27 kg less potatoes were purchased in the spring. - Therefore, the total weight of potatoes purchased in the spring can be calculated as: y kg - 27 kg = z kg.

3. Calculate the spring price per kg of potatoes: - The total amount spent on potatoes in the spring is the same as in the fall, which is 810 rubles. - Therefore, the price per kg of potatoes in the spring can be calculated as: 810 rubles / z kg = price rubles/kg.

Now, let's calculate the price of 1 kg of potatoes in the spring using the given information:

1. Calculate the fall price per kg of potatoes: - Let's assume the fall price per kg of potatoes is x rubles. - The total amount spent on potatoes in the fall is 810 rubles. - Therefore, the total weight of potatoes purchased in the fall can be calculated as: 810 rubles / x rubles/kg = y kg.

2. Calculate the spring price per kg of potatoes: - The price of 1 kg of potatoes in the spring is 1 ruble more than the fall price, so it can be expressed as: x + 1 ruble/kg. - Due to the price increase, 27 kg less potatoes were purchased in the spring. - Therefore, the total weight of potatoes purchased in the spring can be calculated as: y kg - 27 kg = z kg.

3. Calculate the spring#### Calculating the Cost of Potatoes in Spring

To calculate the cost of 1 kg of potatoes in spring, we can use the information provided about the change in price and the quantity purchased.

Given: - Amount spent in autumn: 810 р. - Price increase in spring: 1 р. per 1 kg - Quantity purchased in spring: 27 kg less than in autumn

Solution:

Let's denote the price of 1 kg of potatoes in autumn as x.

The total quantity of potatoes purchased in autumn can be calculated using the amount spent and the price per kg: Total quantity in autumn = Amount spent / Price per kg

The total quantity of potatoes purchased in spring can be expressed as: Total quantity in spring = Total quantity in autumn - 27 kg

The price of 1 kg of potatoes in spring can be calculated using the new total quantity and the amount spent: Price per kg in spring = Amount spent / Total quantity in spring

Now, let's calculate the price of 1 kg of potatoes in spring using the given information.

Calculation:

Total quantity in autumn = 810 р. / x

Total quantity in spring = (810 р. / x) - 27 kg

Price per kg in spring = 810 р. / ((810 р. / x) - 27)

By solving the above equation, we can find the price of 1 kg of potatoes in spring.

Result:

The price of 1 kg of potatoes in spring can be calculated using the above method.