Question

Купили 2 відрізи однакової тканини. У першому відрізі було 18 м, а в другому 25 м.За другий заплатили на 224 грн більше ніж за перший. Скільки коштує кожний відріз? Помогите мне на завтра

Answer 1

1)25-18=7
2)224÷7=32
я думаю так

Answer 2

To solve this problem, we can set up a system of equations based on the given information. Let's assume that the cost per meter of fabric is the same for both pieces.

Let's denote the cost per meter as x (in hryvnias).

From the given information, we know that the first piece of fabric is 18 meters long and the second piece is 25 meters long. We also know that the cost of the second piece is 224 hryvnias more than the cost of the first piece.

Using this information, we can set up the following equations:

Equation 1: Cost of the first piece = 18 * x Equation 2: Cost of the second piece = 25 * x Equation 3: Cost of the second piece - Cost of the first piece = 224

Now, let's solve these equations to find the value of x, which represents the cost per meter of fabric.

Solving the equations:

From Equation 1, we have: Cost of the first piece = 18 * x

From Equation 2, we have: Cost of the second piece = 25 * x

From Equation 3, we have: Cost of the second piece - Cost of the first piece = 224

Substituting the values from Equation 1 and Equation 2 into Equation 3, we get: 25 * x - 18 * x = 224

Simplifying the equation, we have: 7 * x = 224

Dividing both sides of the equation by 7, we find: x = 32

Answer:

Therefore, the cost per meter of fabric is 32 hryvnias.

To find the cost of each piece, we can substitute this value back into Equation 1 and Equation 2:

Cost of the first piece = 18 * 32 = 576 hryvnias Cost of the second piece = 25 * 32 = 800 hryvnias

So, the first piece of fabric costs 576 hryvnias, and the second piece costs 800 hryvnias.