Question

Господарка купила по однаковій ціні 7 кг яблук і 3 кг груш. за яблука вона заплатила на 56 грн більше ніж за груші. скільки коштують яблука й груші окремо?

Answer 1

Х грн- цiна 
7х  грн-коштують яблука
3х  грн-коштують грушi
7х-3х=56
4х=56
х=56:4
х=14 грн цiна
7*14=98 грн коштують яблука
3*14=42 грн коштують грушi

Answer 2

Calculating the Cost of Apples and Pears

To calculate the cost of apples and pears separately, we can use a system of equations based on the given information.

Let's denote the cost of 1 kg of apples as A and the cost of 1 kg of pears as P.

We have the following information: 1. The landlady bought 7 kg of apples and 3 kg of pears at the same price. 2. The cost of apples was 56 UAH more than the cost of pears.

We can express this information in the form of equations and solve for the values of A and P.

Setting Up the Equations

1. The first equation represents the total cost of the apples and pears: - 7A = 3P (since the total cost is the same)

2. The second equation represents the price difference between apples and pears: - A = P + 56 (the cost of apples is 56 UAH more than the cost of pears)

Solving the Equations

We can solve this system of equations to find the values of A and P.

Substituting the value of A from the second equation into the first equation: 7(P + 56) = 3P 7P + 392 = 3P 7P - 3P = -392 4P = -392 P = -392 / 4 P = -98

Now that we have found the value of P, we can find the value of A using the second equation: A = -98 + 56 A = -42

Calculating the Cost

The cost of 1 kg of apples (A) is -42 UAH and the cost of 1 kg of pears (P) is -98 UAH.

It's important to note that the negative values obtained here are not realistic in a real-world context. It's possible that there was an error in the given information or the calculations.