Question

Как сделать задачу.Когда к железнодорожному составу прицепили ещё 16 вагонов ,то цистерны стали составлять 1 девятую всех вагонов состава.Сколько вагонов было в железнодорожном составе первоначально,если в нем стало 6 цистерн

Answer 1

6 цистерн - это 1/9 всего состава. Значит, в новом составе 6х9=54 вагона
До того, как прибавили 16 вагонов
было 54-16=38 вагонов

Answer 2

Solving the Problem Step by Step

To solve this problem, we can follow these steps:

1. Define the Initial Number of Wagons: Let's denote the initial number of wagons as *x*. 2. Calculate the Total Number of Wagons After Adding 16 Wagons: The total number of wagons after adding 16 wagons is *x + 16*. 3. Express the Number of Tank Cars as a Fraction of the Total: The number of tank cars is given as 6, and it is stated that after adding 16 wagons, the tank cars make up 1/9 of the total wagons. This can be expressed as the equation *6 = (1/9)(x + 16)*. 4. Solve for the Initial Number of Wagons: We can solve for *x* using the equation from step 3.

Calculation

Let's solve the equation *6 = (1/9)(x + 16)* to find the initial number of wagons, *x*.

First, we can multiply both sides of the equation by 9 to clear the fraction:

*9 * 6 = x + 16*

54 = x + 16

Next, we can solve for *x*:

*x = 54 - 16*

*x = 38*

Conclusion

The initial number of wagons in the train was 38.