The larger of two numbers is 11 less than twice the smaller number the sum of two numbers is 823 how would you define the variables so what’s the anwer?

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.