95. Suppose that 387 people will travel on a space shuttle with room for 420 people.Each compartment seats 14 people before the next compartment opens.How many people will ride in the last compartment that opened?

Assuming that in fact each compartment only holds 14 people, then since

387/14 = 27.6, we have

387 - 14*27 = 9

To find out how many people will ride in the last compartment that opened, we need to determine the number of compartments that will be filled and how many people will be left over.

First, let's find the number of compartments that will be filled. We can do this by dividing the total number of people (387) by the capacity of each compartment (14).

387 people / 14 people per compartment = 27.64 compartments

Since we cannot have a fraction of a compartment, we round down to the nearest whole number. So, 27 compartments will be filled.

Now, let's find out how many people will be left over after filling these 27 compartments. We can do this by subtracting the total number of people from the product of the number of compartments filled and the capacity of each compartment.

Leftover people = Total people - (number of compartments filled * capacity of each compartment)
= 387 - (27 * 14)
= 387 - 378
= 9

Therefore, there will be 9 people left over after filling 27 compartments. Since the last compartment opened will be partially filled, the number of people in the last compartment will be equal to the number of people left over, which in this case is 9.