110 student went to the lake for a boat ride. there were 8 both (each would safely hold the same number of student), and all but 14 students could go for a ride. those remaining 14 students had to wait until first students finished their ride before they could go. how many students would fit on each both?

both or boat?

To find out how many students would fit on each boat, we need to work through the problem step by step.

First, let's find the total number of students who went for a boat ride. We are told that all but 14 students could go for a ride, so if we subtract 14 from the total number of students, we should get the number who actually went for a ride.

Total number of students = 110
Students who didn't go for a ride = 14
Students who went for a ride = Total number of students - Students who didn't go for a ride

Students who went for a ride = 110 - 14 = 96

Now, we know that each boat can hold the same number of students, so we need to divide the number of students who went for a ride (96) by the number of boats.

Number of students who went for a ride per boat = Students who went for a ride / Number of boats

Let's substitute the values we already have:
Number of students who went for a ride per boat = 96 / Number of boats

However, we are not given the number of boats directly. We are only told that there are 8 boats, but we need to verify if this is correct.

To do this, we can use the fact that 14 students needed to wait for the first group to finish their ride before they could go. This indicates that the remaining students could be split evenly among the boats, as the boats would need to make another round for them.

So, we can divide the number of students who needed to wait (14) by the number of boats:
Number of students who needed to wait per boat = Number of students who needed to wait / Number of boats

Let's substitute the values we have:

Number of students who needed to wait per boat = 14 / Number of boats

Since all boats can hold the same number of students, the number of students who went for a ride per boat and the number of students who waited per boat should be equal:

Number of students who went for a ride per boat = Number of students who needed to wait per boat

Let's set up the equation and solve for the number of boats:

96 / Number of boats = 14 / Number of boats

To solve this equation, we can cross-multiply:

96 * Number of boats = 14 * Number of boats

Now, subtracting "14 * Number of boats" from both sides of the equation:

96 * Number of boats - 14 * Number of boats = 0

Simplifying further:

82 * Number of boats = 0

To find the value of "Number of boats" that satisfies the equation, we need to know the value of "Number of boats" that makes the left side equal to zero. However, there is no such value that satisfies the equation. This means there is an error in the information provided, and we cannot determine the number of students that would fit on each boat based on the given information.