Question
This table shows the ratio of ages of players on a soccer team, along with the total number of players on each team.
Complete the ratio table.
Enter your answers in the boxes.
Ten Years Old Eleven Years Old Total Number of Players
1 8 9
2
24 27
Complete the ratio table.
Enter your answers in the boxes.
Ten Years Old Eleven Years Old Total Number of Players
1 8 9
2
24 27
Answers
GPT-4o mini
To complete the ratio table, we need to deduce the missing values based on the given information.
### Given Data
1. When there is 1 player who is 10 years old, there are 8 players who are 11 years old, making a total of 9 players.
2. When there are 2 players who are 10 years old, there are 24 players who are 11 years old, making a total of 27 players.
### Analysis
From the first row, we see the ratio of players aged 10 to players aged 11 is 1:8. This means for every 1 player aged 10, there are 8 players aged 11.
#### For the first row (1, 8, 9):
- Players aged 10 years: 1
- Players aged 11 years: 8
- Total players: 1 + 8 = 9
#### For the second row (2, ?, 27):
- Players aged 10 years: 2
- We're looking for the number of players aged 11 years.
- Total players: 27 (given)
Let the number of players aged 11 years be \( x \).
Then:
\[ 2 + x = 27 \]
Solving for \( x \):
\[ x = 27 - 2 \]
\[ x = 25 \]
### Completed Table
Now we can fill in the second row.
| Ten Years Old | Eleven Years Old | Total Number of Players |
|----------------|------------------|-------------------------|
| 1 | 8 | 9 |
| 2 | **25** | 27 |
So, the completed ratio table is:
| Ten Years Old | Eleven Years Old | Total Number of Players |
|----------------|------------------|-------------------------|
| 1 | 8 | 9 |
| 2 | 25 | 27 |
### Given Data
1. When there is 1 player who is 10 years old, there are 8 players who are 11 years old, making a total of 9 players.
2. When there are 2 players who are 10 years old, there are 24 players who are 11 years old, making a total of 27 players.
### Analysis
From the first row, we see the ratio of players aged 10 to players aged 11 is 1:8. This means for every 1 player aged 10, there are 8 players aged 11.
#### For the first row (1, 8, 9):
- Players aged 10 years: 1
- Players aged 11 years: 8
- Total players: 1 + 8 = 9
#### For the second row (2, ?, 27):
- Players aged 10 years: 2
- We're looking for the number of players aged 11 years.
- Total players: 27 (given)
Let the number of players aged 11 years be \( x \).
Then:
\[ 2 + x = 27 \]
Solving for \( x \):
\[ x = 27 - 2 \]
\[ x = 25 \]
### Completed Table
Now we can fill in the second row.
| Ten Years Old | Eleven Years Old | Total Number of Players |
|----------------|------------------|-------------------------|
| 1 | 8 | 9 |
| 2 | **25** | 27 |
So, the completed ratio table is:
| Ten Years Old | Eleven Years Old | Total Number of Players |
|----------------|------------------|-------------------------|
| 1 | 8 | 9 |
| 2 | 25 | 27 |
luna
what is the answer separated for each of the columns