We are given
Karen is hosting a pizza party for herself and 29 guests
so, total number of people =30
each person gets more than 1/5
Let's assume total number of pizzas as 'x'
[tex]x=\frac{1}{5}*30[/tex]
[tex]x=6[/tex]
2/3 of a pizza
so, we get
[tex]x=\frac{2}{3}*30[/tex]
[tex]x=20[/tex]
we are given
She wants to order enough pizzas so that each person gets more than 1/5
and
but less than 2/3rd of a pizza
so, we get
[tex]6<x<20[/tex]
so, Karen could between order 6 to 20 pizzas...........Answer