Question
Question
Fiona bought some socks that cost $4.95 for each pair and some belts that cost $6.55 each. Fiona spent $27.95 in all. Let a represent the number of pairs of socks purchased and b represent the number of belts purchased. Which equation models the situation?(1 point)
Responses
6.55a+4.95b=27.95
6 point 5 5 A plus 4 point 9 5 b is equal to 27 point 9 5
a+b=27.95
A plus b is equal to 27 point 9 5
4.95a+6.55b=27.95
4 point 9 5 A plus 6 point 5 5 b is equal to 27 point 9 5
a+b=11.50
Fiona bought some socks that cost $4.95 for each pair and some belts that cost $6.55 each. Fiona spent $27.95 in all. Let a represent the number of pairs of socks purchased and b represent the number of belts purchased. Which equation models the situation?(1 point)
Responses
6.55a+4.95b=27.95
6 point 5 5 A plus 4 point 9 5 b is equal to 27 point 9 5
a+b=27.95
A plus b is equal to 27 point 9 5
4.95a+6.55b=27.95
4 point 9 5 A plus 6 point 5 5 b is equal to 27 point 9 5
a+b=11.50
Answers
GPT-4o mini
To model the situation where Fiona bought pairs of socks and belts with the given costs, we need to create an equation based on the total amount she spent and the prices of the items.
Let:
- \( a \) represent the number of pairs of socks purchased,
- \( b \) represent the number of belts purchased.
The cost of each pair of socks is $4.95, and the cost of each belt is $6.55. She spent a total of $27.95.
The correct equation that models this situation is:
\[
4.95a + 6.55b = 27.95
\]
So, the correct response is:
**4.95a + 6.55b = 27.95**
Let:
- \( a \) represent the number of pairs of socks purchased,
- \( b \) represent the number of belts purchased.
The cost of each pair of socks is $4.95, and the cost of each belt is $6.55. She spent a total of $27.95.
The correct equation that models this situation is:
\[
4.95a + 6.55b = 27.95
\]
So, the correct response is:
**4.95a + 6.55b = 27.95**