Question

В магазине купили хлеб, Масло и сыр. Всего сумма покупки составила 361 рубль. Масло дороже хлеба на 87 рублей, а сыр дороже масла в 2 раза. Сколько стоит сыр? (только можно сразу решение и ответ

Answer 1

Х + Х + 87 + 2(Х + 87) = 361

4Х = 361 - 261

Х = 25 – хлеб

(25 + 87) × 2 = 244.

Answer 2

Problem Analysis

We are given the total cost of a purchase, which includes bread, butter, and cheese. We are also given that butter is more expensive than bread by 87 rubles, and cheese is twice as expensive as butter. We need to determine the cost of the cheese.

Solution

Let's assign variables to the costs of bread, butter, and cheese. We'll use x for the cost of bread, x + 87 for the cost of butter, and 2(x + 87) for the cost of cheese.

According to the problem, the total cost of the purchase is 361 rubles. We can set up the following equation to represent this:

x + (x + 87) + 2(x + 87) = 361

Now, let's solve this equation to find the value of x and then calculate the cost of cheese.

Calculation

Expanding the equation, we have:

x + x + 87 + 2x + 174 = 361

Combining like terms, we get:

4x + 261 = 361

Subtracting 261 from both sides, we have:

4x = 100

Dividing both sides by 4, we get:

x = 25

Now that we have the value of x, we can calculate the cost of cheese:

2(x + 87) = 2(25 + 87) = 2(112) = 224 rubles

Answer

The cost of the cheese is 224 rubles.