10 total appetizer recipes
Step-by-step explanation:
6 appetizers recipe = 3 weeks
let the number of recipes after 5 weeks = y
Since they are directly proportional:
6 recipes = 3 weeks
y = 5 weeks
Cross multiply:
6(5 weeks) = y(3 weeks)
30 = 3y
divide both sides by 3:

Nancy will know 10 total appetizer recipes