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)Responsesa+b=27.95A plus b is equal to 27 point 9 5a+b=11.50A plus b is equal to 11 point 5 04.95a+6.55b=27.954 point 9 5 A plus 6 point 5 5 b is equal to 27 point 9 56.55a+4.95b=27.95

1 answer

To model the situation where Fiona bought some pairs of socks and belts, we can set up an equation based on the total amount she spent on these items.

Let:

  • \( a \) be the number of pairs of socks,
  • \( b \) be the number of belts.

The total cost for the socks would be \( 4.95a \) (since each pair of socks costs $4.95), and the total cost for the belts would be \( 6.55b \) (since each belt costs $6.55).

According to the problem, Fiona spent a total of $27.95. Therefore, the equation that models the situation can be written as:

\[ 4.95a + 6.55b = 27.95 \]

So the correct response is:

4.95a + 6.55b = 27.95