
У трёх девочек 25р 40р 36р УОли не меньше 30р У Кати денег больше чем у Оли Сколько денег у каждой
из девочек ?

Ответы на вопрос

У Кати-40 рублей
А у третей девочки-25 рублей)






Solving for the Amount of Money Each Girl Has
To solve this problem, we can use a system of equations. Let's denote the amount of money each girl has as follows: - Let's denote the amount of money the first girl has as x. - The second girl has 25 rubles more than the first girl, so she has x + 25 rubles. - The third girl has 36 rubles, which is 11 rubles more than the first girl, so she has x + 11 rubles. - Olga has at least 30 rubles, so she has x + 30 rubles. - Katya has more money than Olga, so she has x + 30 + y rubles, where y is the additional amount of money Katya has compared to Olga.
Setting Up the Equations
We can set up the following equations based on the given information: 1. x + (x + 25) + (x + 11) = 25 + 40 + 36 (the total amount of money the three girls have) 2. x + 30 ≥ 30 (Olga has at least 30 rubles) 3. x + 30 + y > x + 30 (Katya has more money than Olga)
Solving the Equations
Let's solve the equations to find the amount of money each girl has.
1. x + (x + 25) + (x + 11) = 25 + 40 + 36 - Simplifying the equation: 3x + 36 = 101 - Solving for x: 3x = 65 - Therefore, x = 65 / 3 = 21.67
2. x + 30 ≥ 30 - This equation is satisfied because 21.67 + 30 = 51.67 ≥ 30
3. x + 30 + y > x + 30 - This equation implies that y > 0, which makes sense because Katya has more money than Olga.
Conclusion
Based on the given information and the calculated value of x, we can conclude that the first girl has approximately 21.67 rubles, the second girl has approximately 46.67 rubles, the third girl has approximately 32.67 rubles, Olga has approximately 51.67 rubles, and Katya has more money than Olga.


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