Use the given degree of confidence and sample data to find margin of error for the population proportion p.
n = 280, x = 123; 95% confidence

At the county fair, the baxter family bought 6 hot dogs and 4 juice drinks for $12.90. the farley family bought 3 hot dogs and 4 juice drinks for $8.55. find the price of a hot dog and the price of a juice drink.