Question

В первом мотке 88 м проволоки, а во втором- 150 м такой же проволоки. За первый моток заплатили на 2 руб. меньше, чем за второй. Какова стоимость двух мотков проволоки?

Answer 1

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Answer 2

Calculating the Cost of Wire

To calculate the cost of the two spools of wire, we can use the information provided.

Let's denote the cost of the first spool as x and the cost of the second spool as y. We are given that the length of the first spool is 88m and the length of the second spool is 150m. We are also given that the cost of the first spool is 2 rubles less than the cost of the second spool.

We can set up the following equations based on the given information: 1. 88x = 150y (since the cost is directly proportional to the length of the wire) 2. x = y - 2 (the cost of the first spool is 2 rubles less than the cost of the second spool)

We can solve this system of equations to find the values of x and y.

Solving the Equations

Using the first equation, we can express y in terms of x: y = (88/150)x

Substituting this value of y into the second equation: x = (88/150)x - 2

Solving for x: x = 150/62

Now that we have the value of x, we can find the value of y: y = (88/150) * (150/62) = 88/62

Calculating the Total Cost

To find the total cost, we can simply add the cost of the first spool (x) to the cost of the second spool (y).

Total cost = x + y

Substituting the values of x and y: Total cost = 150/62 + 88/62

Calculating the total cost: Total cost = 238/62

So, the total cost of the two spools of wire is 238/62 rubles.

Final Answer

The total cost of the two spools of wire is 238/62 rubles.