Question

Помогите решить задачу:Коля собирал модели машин,самолётов и пароходов , причём машин и самолётов у него было 56 моделей, а самолётов на 12больше ,чем пароходов .Сколько моделей каждого вида было у Коли,если всего его коллекция насчитывала 82 модели?

Answer 1

1)82-56=26 пароходов
2)26+12=38самолетов
3)56-38=18машин

Answer 2

Если машин и самолетов вместе было 56 моделей, значит 82 - 56 = 26 (м.) - пароходы.
26 + 12 = 38 (м.) - самолеты
82 - 26 - 38 = 18 (м.) - машины

Answer 3

Solving the Problem of Kolya's Model Collection

To solve the problem of Kolya's model collection, we can use a system of equations to represent the given information and solve for the number of models of each type.

Let's denote: - x as the number of models of ships (paroohods) - y as the number of models of planes - z as the number of models of cars (machines)

We are given the following information: 1. Kolya had 56 models of cars and planes combined: x + y = 56. 2. He had 12 more models of planes than ships: y = x + 12. 3. His total collection consisted of 82 models: x + y + z = 82.

Solving the Equations

We can use the second equation to express x in terms of y: x = y - 12.

Substituting this expression for x into the first and third equations, we get: 1. (y - 12) + y = 56, 2. (y - 12) + y + z = 82.

Solving these equations will give us the values of x, y, and z.

Calculating the Values

Let's solve the first equation: (y - 12) + y = 56 2y - 12 = 56 2y = 56 + 12 2y = 68 y = 34.

Now, we can find the values of x and z using the value of y: x = 34 - 12 x = 22.

Finally, we can find z using the third equation: (y - 12) + y + z = 82 34 - 12 + 34 + z = 82 22 + z = 82 z = 60 - 22 z = 38.

Conclusion

Therefore, Kolya had 22 models of ships (paroohods), 34 models of planes, and 38 models of cars (machines) in his collection of 82 models.