Final answer:
After testing each option provided to see which one would result in Fiona spending exactly $27.95 on socks and boats, it was found that none of the options are correct. Every option resulted in a total cost that was either too high or did not add up to the specified amount.
Step-by-step explanation:
To determine how many pairs of socks and boats Fiona bought, we need to set up a system of equations based on the prices and the total amount spent. Let's let S represent the number of pairs of socks and B represent the number of boats. The price per pair of socks is $4.95 and per boat is $6.55.
The total amount spent by Fiona is $27.95, which gives us the equation:
4.95S + 6.55B = 27.95
We can now test each of the provided options to see which one satisfies the equation:
- A) 5 pairs of socks and 4 boats: 4.95(5) + 6.55(4) = 24.75 + 26.20 = 50.95 (Incorrect, too high)
- B) 6 pairs of socks and 3 boats: 4.95(6) + 6.55(3) = 29.70 + 19.65 = 49.35 (Incorrect, too high)
- C) 7 pairs of socks and 2 boats: 4.95(7) + 6.55(2) = 34.65 + 13.10 = 47.75 (Incorrect, too high)
- D) 8 pairs of socks and 1 boat: 4.95(8) + 6.55(1) = 39.60 + 6.55 = 46.15 (Incorrect, too high)
Unfortunately, there seems to be a mistake in the question or the options provided as none of them result in the total amount of $27.95. A correct pairing would need to satisfy the initial equation but the given options do not.