There are 10 total people on a rollercoaster. The people on a rollercoaster could be children, adults, or some combination of children and adults. What combinations of people could be on a rollercoaster?

Question

Fill in some combinations of children and adults that could be on a rollercoaster to have a total of 10 people.
Number of children Number of adults
9
6
4
0

Answer 1

To find the combinations of children and adults that add up to 10 people on the rollercoaster, we can consider the number of children (C) and the number of adults (A) such that:

\[ C + A = 10 \]

Here are the combinations based on the values you provided:

1. 9 children, 1 adult

   • Number of children: 9
   • Number of adults: 1

2. 6 children, 4 adults

   • Number of children: 6
   • Number of adults: 4

3. 4 children, 6 adults

   • Number of children: 4
   • Number of adults: 6

4. 0 children, 10 adults

   • Number of children: 0
   • Number of adults: 10

These are some of the possible combinations of children and adults that add up to a total of 10 people on the rollercoaster. Here’s a summary for clarity:

• 9 children, 1 adult
• 6 children, 4 adults
• 4 children, 6 adults
• 0 children, 10 adults

Additionally, here are a few more combinations for completeness:

5. 8 children, 2 adults

   • Number of children: 8
   • Number of adults: 2

6. 7 children, 3 adults

   • Number of children: 7
   • Number of adults: 3

7. 5 children, 5 adults

   • Number of children: 5
   • Number of adults: 5

8. 3 children, 7 adults

   • Number of children: 3
   • Number of adults: 7

9. 2 children, 8 adults

   • Number of children: 2
   • Number of adults: 8

10. 1 child, 9 adults

    • Number of children: 1
    • Number of adults: 9

These combinations cover all possible scenarios where the total number of people equals 10!