Question

Цена персиков на 20р. выше, чем цена абрикосов. Для консервирования компота купили 3кг персиков и 5кг абрикосов. По какой цене покупали фрукты, если вся покупка обошлась в 620 рублей?

Answer 1

х (руб.)-цена абрикосов

х+20 (руб)-цена персиков.

По условию составим уравнение:

3(х+20)+5х=620

3х+60+5х=620

8х=620-60

8х=560

х=560:8

х=70(руб)-стоит один кг абрикос.

70+20=90(руб)-стоит 1кг персиков.

Answer 2

Calculation of Fruit Prices

To calculate the prices of peaches and apricots, we need to consider that the price of peaches is 20 rubles higher than the price of apricots. Additionally, we know that 3 kilograms of peaches and 5 kilograms of apricots were purchased for a total cost of 620 rubles.

Let's assume the price of apricots is x rubles per kilogram. Since the price of peaches is 20 rubles higher, the price of peaches would be (x + 20) rubles per kilogram.

To find the total cost of the purchase, we can multiply the price per kilogram by the number of kilograms for each fruit and sum them up:

Total cost = (Price of peaches per kilogram * Number of kilograms of peaches) + (Price of apricots per kilogram * Number of kilograms of apricots)

Substituting the given values:

620 = ((x + 20) * 3) + (x * 5)

Now we can solve this equation to find the price of apricots (x) and the price of peaches (x + 20).

Let's solve the equation step by step:

1. Distribute the multiplication: 620 = 3x + 60 + 5x

2. Combine like terms: 620 = 8x + 60

3. Subtract 60 from both sides: 560 = 8x

4. Divide both sides by 8: x = 70

Now that we have found the price of apricots, we can calculate the price of peaches:

Price of peaches = x + 20 = 70 + 20 = 90 rubles per kilogram

Therefore, the price of apricots is 70 rubles per kilogram, and the price of peaches is 90 rubles per kilogram.

Please let me know if there is anything else I can help you with!