The number of women passengers in a bus was X. The number of children in the bus was three times that of men passengers but was 6 more than that of women. Write equation that shows the total number of passengers in the bus?

women --- x

children --- x+6
men ---- (1/3)(x+6)

total passengers = x + x+6 + (1/3)(x+6)

Thank you for your kindness.

To write an equation that shows the total number of passengers in the bus, let's break down the given information step by step.

Let:
- X = number of women passengers
- Y = number of men passengers
- Z = number of children passengers

According to the information given:
- The number of children in the bus was three times that of men passengers, so Z = 3Y.
- The number of children was also 6 more than that of women, so Z = X + 6.

To find the total number of passengers in the bus, we need to add up the number of women, men, and children: X + Y + Z.

Now, substitute the values we know into the equation:
X + Y + Z = X + Y + (X + 6).

By combining like terms, we can simplify the equation to:
X + Y + Z = 2X + Y + 6.

Therefore, the equation that shows the total number of passengers in the bus is:
2X + Y + 6.