
у касі на фільм до червоного кінозалу було продано 89 квитків,а до зеленого 139 й отримано грошей
на 750 грн більше.яку суму отримав кінотеатр, якщо ціна всіх квитків була однаковлю?

Ответы на вопрос

Ответ: 3420(грн)
Пошаговое объяснение:
1) 139 - 89 = 50 квитків - різниця;
2) 750 : 50 = 15 грн. - вартість одного квитка;
3) 89 + 139 = 228 квитків - продано квитків всього;
4) 228 * 15 = 3420 грн. - виручка кінотеатру у загальному.



To solve this problem, we can set up a system of equations based on the given information. Let's denote the price of each ticket as "x".
From the information given, we know that 89 tickets were sold for the red cinema hall and 139 tickets were sold for the green cinema hall. The total amount of money received from the green cinema hall was 750 hryvnias more than the total amount received from the red cinema hall.
We can set up the following equations:
Equation 1: 89x = total amount received from the red cinema hall Equation 2: 139x = total amount received from the green cinema hall Equation 3: total amount received from the green cinema hall - total amount received from the red cinema hall = 750
To find the solution, we can solve this system of equations.
Solving the System of Equations:
Substituting the values from Equation 1 and Equation 2 into Equation 3, we get:
139x - 89x = 750
Simplifying the equation:
50x = 750
Dividing both sides of the equation by 50:
x = 15
So, the price of each ticket is 15 hryvnias.
To find the total amount received by the cinema, we can multiply the price of each ticket by the number of tickets sold for each cinema hall:
Total amount received from the red cinema hall = 89 * 15 = 1335 hryvnias Total amount received from the green cinema hall = 139 * 15 = 2085 hryvnias
Therefore, the cinema received a total of 1335 + 2085 = 3420 hryvnias.
In conclusion, the cinema received a total of 3420 hryvnias.


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