Question

В одном классе 27 учеников в другом на 6 учеников меньше. За билеты в цирк первый класс заплатил на 960р. больше чем второй. Сколько заплатил за билеты каждый класс если цена билетов была одинаковой?

Answer 1

если класс в котором больше детей на 6 заплатил больше денег на 960 р. Значит 6 детей  и заплатили эту разницу

960/6= 160о заплатил 1 ребёнок

Теперь перемножаем цену на количество детей:

160*27= 4320 заплатил 1 класс

27-6= 21 колитчество детей во 2 классе

160*21= 3360 заплатил 2 класс

Answer 2

Calculating the Cost of Tickets for Each Class

To calculate the cost of tickets for each class, we can use the information provided. Let's denote the number of students in the first class as x and the cost of tickets for each student in the first class as y.

Given: - In one class, there are 27 students. - In the other class, there are 6 fewer students than in the first class. - The first class paid 960 rubles more than the second class for the tickets. - The price of the tickets is the same for both classes.

We can set up the following equations based on the given information:

1. x - (x - 6) = 27 (Number of students in the first class minus the number of students in the second class equals 27) 2. xy = (x - 6)(y) + 960 (The total cost paid by the first class equals the total cost paid by the second class plus 960 rubles)

Let's solve these equations to find the values of x and y.

Solving the Equations

First, we can solve the equation x - (x - 6) = 27 to find the value of x.

x - (x - 6) = 27 x - x + 6 = 27 6 = 27 x = 33

Now that we have the value of x, we can use it to solve the second equation.

33y = (33 - 6)y + 960 33y = 27y + 960 6y = 960 y = 160

Calculating the Cost of Tickets for Each Class

Therefore, the number of students in the first class, x, is 33, and the cost of tickets for each student in both classes, y, is 160 rubles.

So, the first class paid 160 rubles per student for the tickets, and the second class also paid 160 rubles per student for the tickets.

Therefore, the first class paid a total of 33 * 160 = 5280 rubles for the tickets, and the second class paid a total of 27 * 160 = 4320 rubles for the tickets.

In conclusion, the first class paid 5280 rubles and the second class paid 4320 rubles for the tickets.

(#1)(#2)