Question

ПОМОГИТЕ!!!! бивалютная корзина стоимостью 37,95 руб на 55% состоит из доллара,а на 45% из евро .Если бы она на 55% состояла из евро , а на 45% из доллара, то ее стоимость была равна 39,05 руб ОТНОШЕНИЕ КУРСА ДОЛЛАРА К КУРСУ ЕВРО РАВНО=?

Answer 1

Х - курс доллара к рублю
у - курс евро к рублю
Первая бивалютная корзина : 0,55х + 0,45у = 37,95
Вторая бивалютная корзина : 0,45х + 0,55у = 39,05 , решим как систему уравнений . Умноножим первое уравнение на (0,45 / 0,55) = 9/11  .  Получим :
 { 0,45х + 9/11 * 0,45у = 9/11 * 37,95
-
{ 0,45х + 0,55у = 39,05
9/11 *0,45у - 0,55у = 9/11 * 37,95 - 39,05
0,37у - 0,55у = 31,05 - 39,05
-0,18у = - 8,0
у = 44,44 руб - курс евро к рублю , подставим значение "у" в первое уравнение : 0,55х + 0,45 * 44,44 = 37,95
0,55х = 37,95 - 0,45* 44,44
0,55х = 37,95 - 20,0
0,55х = 17,95
х = 17,95 / 0,55
х = 32,64 руб - курс доллара к рублю
Курс доллара к курса к евра по отношению к рублю равна = 32,64 / 44,44 = 0,7345

Answer 2

Bivalue Basket Calculation

To calculate the exchange rate between the dollar and the euro based on the given information, we can use the concept of a bivalue basket. A bivalue basket is a hypothetical basket of currencies that represents a certain percentage of two different currencies. In this case, we have a bivalue basket with a value of 37.95 rubles, consisting of 55% dollars and 45% euros.

Let's assume the exchange rate between the dollar and the ruble is X, and the exchange rate between the euro and the ruble is Y.

If the bivalue basket consists of 55% dollars and 45% euros, its value can be calculated as follows:

0.55 * X + 0.45 * Y = 37.95 (Equation 1)

On the other hand, if the bivalue basket consists of 55% euros and 45% dollars, its value is given as 39.05 rubles. We can express this as:

0.55 * Y + 0.45 * X = 39.05 (Equation 2)

We can solve this system of equations to find the exchange rate between the dollar and the euro.

Solving the System of Equations

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

From Equation 1, we can express X in terms of Y:

X = (37.95 - 0.45 * Y) / 0.55 (Equation 3)

Substituting Equation 3 into Equation 2, we get:

0.55 * Y + 0.45 * ((37.95 - 0.45 * Y) / 0.55) = 39.05

Simplifying the equation, we have:

0.55 * Y + (0.45 / 0.55) * (37.95 - 0.45 * Y) = 39.05

Solving for Y:

0.55 * Y + (0.45 / 0.55) * 37.95 - (0.45 / 0.55) * 0.45 * Y = 39.05

Multiplying through by 0.55 to eliminate the denominators:

0.55 * Y + 0.45 * 37.95 - 0.45 * 0.45 * Y = 0.55 * 39.05

Simplifying further:

0.55 * Y + 17.0775 - 0.091125 * Y = 21.4775

Combining like terms:

0.458875 * Y = 4.4

Dividing both sides by 0.458875:

Y = 9.586

Now that we have the value of Y, we can substitute it back into Equation 3 to find X:

X = (37.95 - 0.45 * 9.586) / 0.55

Simplifying:

X = 67.47022

Therefore, the exchange rate of the dollar to the euro is approximately 67.47022.

Conclusion

The exchange rate of the dollar to the euro, based on the given information, is approximately 67.47022. Please note that this calculation is based on the assumption that the bivalue basket consists of 55% dollars and 45% euros, and that the values provided are accurate.