Question

Стоимость 1 кг яблок и 1 кг груш 275тг. Стоимость 3 кг яблок на 50 тг меньше,чем стоимость 4 кг груш. Какова цена 1 кг яблок,1 кг груш?

Answer 1

у тг - стоимость груш

х тг - стоимость яблок

 

4у-3х=50

х+у=275

275-у,подставим значение х в первое уравнение:

4у-3(275-у)=50

4у-825+3у=50

7у=875

у=125(тг) - цена 1кг груш

275-125=150(тг) - цена 1кг яблок

Проверка:

125*4-150*3=50(тг)

 

4кг груш=3кг яблок+50тг

1кг груш+1кг яблок=275тг

275*3+50=875(тг) - стоимость7кг груш

875:7=125(тг) - цена 1кг груш

275-125=150(тг) цена 1кг яблок

Answer 2

Calculation of the Price per Kilogram of Apples and Pears

To determine the price per kilogram of apples and pears, we can use the given information. Let's assume the price per kilogram of apples is x Tenge, and the price per kilogram of pears is y Tenge.

According to the given information: - The cost of 1 kilogram of apples and 1 kilogram of pears is 275 Tenge. - The cost of 3 kilograms of apples is 50 Tenge less than the cost of 4 kilograms of pears.

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

Equation 1: x + y = 275 (since the cost of 1 kilogram of apples and 1 kilogram of pears is 275 Tenge)

Equation 2: 3x = 4y - 50 (since the cost of 3 kilograms of apples is 50 Tenge less than the cost of 4 kilograms of pears)

Now, let's solve these equations to find the price per kilogram of apples and pears.

Solving the Equations

To solve the equations, we can use substitution or elimination. Let's use the elimination method.

Multiplying Equation 1 by 4, we get:

4x + 4y = 1100

Subtracting Equation 2 from this equation, we have:

4x + 4y - (4y - 50) = 1100

Simplifying:

4x + 4y - 4y + 50 = 1100

4x + 50 = 1100

Subtracting 50 from both sides:

4x = 1050

Dividing both sides by 4:

x = 262.5

Now, substituting the value of x into Equation 1:

262.5 + y = 275

Subtracting 262.5 from both sides:

y = 12.5

Answer

Therefore, the price per kilogram of apples is 262.5 Tenge, and the price per kilogram of pears is 12.5 Tenge.

Please note that the given information was limited, and the calculations were based on the provided equations.