Question

Решить методом подстановки систем линейных уравнения Остап Бендер и Киса Воробьянинов разделили между собой выручку от продажи слонов населению. Остап подумал: если бы я взял денег на 40% больше, то доля Кисы уменьшилась бы на 60%. А как изменилась бы доля Воробьянинова, если бы Остап взял себе денег на 50% больше?

Answer 1

Пусть Остап взял себе x рублей,
а Киса взял себе y рублей,
тогда, по условию, 0,4x = 0,6y.
Отсюда получим, что 0,5x = 0,75y.
Следовательно, если бы доля Остапа увеличилась на 50%,
то доля Воробьянинова уменьшилась бы на 75%.

Answer 2

Пусть доля остапа=x, доля кисы=y
Получаем систему
x*40%=y*60%
x*50%=y*z%

Решаем второе уравнение через первое
x*=y*60%/40%
x*50%=y*z%

x*=y*1,5
x*50%=y*z%
Подставляем во второе
x*=y*1,5
y*1,5*50%=y*z%

x*=y*1,5
1,5*50%=z%

z%=75%

Получается что если доля остапа увеличится на 50, доля кисы уменьшится на 75

Answer 3

Solving the System of Linear Equations using the Substitution Method

To solve the problem involving Ostash Bender and Kisa Vorobyaninov dividing the proceeds from the sale of elephants, we can use the method of substitution. Let's break down the problem and solve it step by step.

Let's assume the total revenue from the sale of elephants is represented by the variable R.

According to the problem, Ostash Bender and Kisa Vorobyaninov divided the revenue between themselves. Let's represent Ostash's share as O and Kisa's share as K.

We are given the following information: - If Ostash took 40% more money, Kisa's share would decrease by 60%. - We need to find out how Kisa's share would change if Ostash took 50% more money.

Let's proceed with solving the problem.

Step 1: Express Ostash's share in terms of Kisa's share - If Ostash took 40% more money, his share would be O + 0.4O. - Kisa's share would decrease by 60%, which means it would be K - 0.6K.

Step 2: Set up the equation based on the given information - We know that Ostash's share after taking 40% more money is equal to Kisa's decreased share: O + 0.4O = K - 0.6K

Step 3: Simplify the equation - Combining like terms, we get: 1.4O = 0.4K

Step 4: Express Kisa's share in terms of Ostash's share - Rearranging the equation, we get: K = 3.5O

Now, let's move on to the second part of the problem.

Step 5: Express Ostash's share in terms of Kisa's share if he took 50% more money - Ostash's share would be O + 0.5O. - We need to find out how Kisa's share would change.

Step 6: Set up the equation based on the given information - We know that Ostash's share after taking 50% more money is equal to Kisa's share: O + 0.5O = K

Step 7: Simplify the equation - Combining like terms, we get: 1.5O = K

From the equations we derived, we can see that Kisa's share is represented by K = 3.5O in the first case and K = 1.5O in the second case.

To find out how Kisa's share would change if Ostash took 50% more money, we can substitute the value of K from the second equation into the first equation.

Substituting K = 1.5O into K = 3.5O, we get: 1.5O = 3.5O - 0.6(3.5O)

Simplifying the equation, we find: 1.5O = 3.5O - 2.1O

Further simplification gives us: 1.5O = 1.4O

Finally, we can solve for Ostash's share: O = 0

Since Ostash's share is zero, it means that if he took 50% more money, his share would be zero. Therefore, Kisa's share would remain unchanged.

In conclusion, if Ostash Bender took 50% more money, Kisa Vorobyaninov's share would remain the same.

Please let me know if you need any further clarification or assistance!