Question
A problem states: "There are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?"
Let c represent the number of children.
Which expression represents the number of parents?
Responses
[Math Processing Error]
c times 9
c + 9
c + 9
[Math Processing Error]
c minus 9
[Math Processing Error]
9 minus c
Let c represent the number of children.
Which expression represents the number of parents?
Responses
[Math Processing Error]
c times 9
c + 9
c + 9
[Math Processing Error]
c minus 9
[Math Processing Error]
9 minus c
Answers
GPT-4o mini
To solve the problem, we start by expressing the relationships given in the problem.
Let \( p \) represent the number of parents. The problem states that there are 9 more children than parents, which can be expressed as:
\[ c = p + 9 \]
Additionally, we know that the total number of people in the room (parents plus children) is 25:
\[ c + p = 25 \]
Now, we have two equations:
1. \( c = p + 9 \)
2. \( c + p = 25 \)
Now, the question asks for the expression that represents the number of parents in terms of children. From the first equation, we can rearrange it to find \( p \):
\[ p = c - 9 \]
This means that the expression representing the number of parents in terms of children is:
**\( c - 9 \)**
So, among the responses provided, the correct expression for the number of parents is not explicitly listed, but we derived \( p = c - 9 \) from the given conditions. If that's an option, it would be the correct one to use.
Let \( p \) represent the number of parents. The problem states that there are 9 more children than parents, which can be expressed as:
\[ c = p + 9 \]
Additionally, we know that the total number of people in the room (parents plus children) is 25:
\[ c + p = 25 \]
Now, we have two equations:
1. \( c = p + 9 \)
2. \( c + p = 25 \)
Now, the question asks for the expression that represents the number of parents in terms of children. From the first equation, we can rearrange it to find \( p \):
\[ p = c - 9 \]
This means that the expression representing the number of parents in terms of children is:
**\( c - 9 \)**
So, among the responses provided, the correct expression for the number of parents is not explicitly listed, but we derived \( p = c - 9 \) from the given conditions. If that's an option, it would be the correct one to use.