10 total appetizer recipes
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:
[tex]\begin{gathered} \frac{30}{3}=\frac{3y}{3} \\ 10\text{ = y} \end{gathered}[/tex]Nancy will know 10 total appetizer recipes