Question

Килограмм яблок дешевле ,чем килограмм груш на 0,3 руб.,,но 3кг яблок стоят столько же,сколько 2кг груш . Чему равна цена яблок и цена груш ?

Answer 1

Х руб - цена яблок
(х+0,3)руб - цена груш
3х=(х+0,3)*2
3х=2х+0,6
х=0,6(руб) - цена яблок
0,6+0,3=0,9(руб) - цена груш

Answer 2

Calculation of Apple and Pear Prices

To determine the prices of apples and pears, let's assign variables to the unknown prices. Let x represent the price of apples per kilogram and y represent the price of pears per kilogram.

According to the given information: - The price of a kilogram of apples is 0.3 rubles cheaper than the price of a kilogram of pears. - 3 kilograms of apples cost the same as 2 kilograms of pears.

Based on these conditions, we can set up the following equations:

Equation 1: x = y - 0.3 (The price of apples is 0.3 rubles cheaper than the price of pears)

Equation 2: 3x = 2y (3 kilograms of apples cost the same as 2 kilograms of pears)

To solve this system of equations, we can substitute Equation 1 into Equation 2:

3(y - 0.3) = 2y

Simplifying the equation:

3y - 0.9 = 2y

y = 0.9 (price of pears per kilogram)

Substituting the value of y back into Equation 1:

x = 0.9 - 0.3

x = 0.6 (price of apples per kilogram)

Therefore, the price of apples is 0.6 rubles per kilogram, and the price of pears is 0.9 rubles per kilogram.