Question

Две семьи отправились на детский утренник. Первая семья купила два детских билета и один взрослый и всего заплатила 340 рублей. Вторая семья купила три детских билета и два взрослых и всего заплатила 615 рублей. Сколько стоит один детский билет и сколько стоит один взрослый билет? Детский билет стоит рублей,а взрослый билет стоит рублей.​

Answer 1

Ответ:

1 детский билет стоит 70 рублей

1 взрослый билет стоит 200 рублей

Объяснение:

Д-детский билет

В-взрослый билет

2д+1в=340

3д+2в=610

1д+1в=610-340=270

1д=340-270=70

Answer 2

Calculation of Ticket Prices

To calculate the cost of one child ticket and one adult ticket, we can set up a system of equations based on the information given.

Let's assume the cost of one child ticket is x rubles and the cost of one adult ticket is y rubles.

For the first family: - They bought two child tickets, so the cost would be 2x rubles. - They also bought one adult ticket, so the cost would be y rubles. - The total cost for the first family is 340 rubles.

For the second family: - They bought three child tickets, so the cost would be 3x rubles. - They also bought two adult tickets, so the cost would be 2y rubles. - The total cost for the second family is 615 rubles.

We can now set up the following equations:

Equation 1: 2x + y = 340 Equation 2: 3x + 2y = 615

To solve this system of equations, we can use various methods such as substitution or elimination. Let's use the elimination method.

Solving the System of Equations

To eliminate one variable, we can multiply Equation 1 by 2 and Equation 2 by 3:

Equation 1 (multiplied by 2): 4x + 2y = 680 Equation 2 (multiplied by 3): 9x + 6y = 1845

Now, we can subtract Equation 1 from Equation 2:

(9x + 6y) - (4x + 2y) = 1845 - 680 5x + 4y = 1165

We now have a new equation:

Equation 3: 5x + 4y = 1165

To solve for x, we can multiply Equation 1 by 5 and Equation 3 by 2:

Equation 1 (multiplied by 5): 10x + 5y = 1700 Equation 3 (multiplied by 2): 10x + 8y = 2330

Now, we can subtract Equation 1 from Equation 3:

(10x + 8y) - (10x + 5y) = 2330 - 1700 3y = 630

Solving for y:

y = 630 / 3 y = 210

Now, we can substitute the value of y back into Equation 1 to solve for x:

2x + 210 = 340 2x = 340 - 210 2x = 130 x = 130 / 2 x = 65

Answer

Based on the calculations, we can conclude that one child ticket costs 65 rubles and one adult ticket costs 210 rubles.

Please note that these calculations are based on the given information and assumptions made.