At the county fair, the Baxter family bought 6 hot dogs and 4 juice drinks for $16.70. The Farley family bought 3 hot dogs and 4 juice drinks for $10.85. Which system of equations correctly represents this situation where x equals the price of a hot dog, and y equals the price of a juice drink?

A) 6x+4y=10.85
3x+4y=16.70

B)6x+4y=16.70

3x+4y=10.85

C) 4x+6y=16.70

4x+3y=10.85

D) 6x+3y=10.85

4x+4y=16.70