A group of 21 people went to the country fair with 9 people on a stagecoach and 3 people in each buggy. On the return trip, 4 people rode in each buggy. How many people returned on the stagecoach?
how many buggies?
21 = 9 + 3 n
n = 4
4*4 = 16
21 - 16 = 5
To determine the number of people who returned on the stagecoach, we need to first find the total number of people who went to the country fair.
Given that 9 people went on the stagecoach and each buggy had 3 people, we can calculate the total number of people in the group by adding the number of people on the stagecoach to the number of people in the buggies.
Total number of people on the stagecoach: 9
Total number of people in each buggy: 3
Total number of people on the stagecoach and in the buggies: 9 + (3 people/buggy * 2 buggies) = 9 + 6 = 15
So, there were a total of 15 people who went to the country fair.
Now, let's figure out how many people were left to return after 4 people rode in each buggy:
Total number of people in each buggy on the return trip: 4
Total number of people left to return in each buggy: 3 people/buggy - 4 people/buggy = -1 people/buggy
Since we can't have a negative number of people, we need to account for this by subtracting the number of buggies that have negative people from the total number of buggies.
Total number of buggies: 2
Since only 1 buggy has negative people (-1 person in 1 buggy), we subtract 1 from the total number of buggies.
Total number of people left to return on the buggies: 2 buggies - 1 buggy = 1 buggy
Lastly, we can calculate the number of people who returned on the stagecoach by subtracting the number of people left to return on the buggies from the total number of people who went to the country fair.
Number of people who returned on the stagecoach: Total number of people who went to the country fair - Total number of people left to return on the buggies = 15 - 1 = 14
Therefore, 14 people returned on the stagecoach.
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