344 students went on a school field trip to the science museum. 6 buses were filled with students, and 8 students rode in a van. Which equation, when solved for x, gives the number of students on each bus?
6x + 8 = 344
Let's assume that the number of students on each bus is represented by x.
We know that there were 6 buses filled with students, so the total number of students on buses would be 6x.
In addition to the buses, there were 8 students riding in a van.
To find the total number of students on the field trip, we need to add the number of students on buses and in the van. This can be represented by the equation:
6x + 8 = 344
To solve this equation for x, we need to isolate x on one side of the equation. We can do this by subtracting 8 from both sides of the equation:
6x + 8 - 8 = 344 - 8
Simplifying the equation gives us:
6x = 336
Finally, we can solve for x by dividing both sides of the equation by 6:
6x/6 = 336/6
Simplifying further gives us:
x = 56
Therefore, the value of x is 56, which represents the number of students on each bus.
To find the number of students on each bus, we need to subtract the students in the van from the total number of students and then divide the result by the number of buses.
Let's start by finding the total number of students. We are given that 344 students went on the field trip.
Next, we need to subtract the number of students in the van. The problem states that 8 students rode in the van.
So, the total number of students on the buses is 344 - 8 = 336.
Now, we need to divide this number by the number of buses, which is 6.
To set up the equation, let's use x as the number of students on each bus.
The equation to solve for x is: 336 = 6x
Now, we can solve this equation by dividing both sides by 6 to isolate x:
336 / 6 = x
Simplifying, we get:
x = 56
Therefore, the number of students on each bus is 56.