Jenna buys 8 quarts of lemonade from the store. She makes 6 different kinds of punch that each use 2 cups of the lemonade. How many quarts of lemonade are left?

Hint: There are 4 cups in 1 quart.

There are 4 cups in 1 quart, so 8 quarts of lemonade is equal to 8 * 4 = <<8*4=32>>32 cups of lemonade.

Jenna uses 2 cups of lemonade for each of the 6 kinds of punch, so she uses a total of 2 * 6 = <<2*6=12>>12 cups of lemonade.
Therefore, Jenna has 32 - 12 = <<32-12=20>>20 cups of lemonade left.
Since there are 4 cups in 1 quart, she has 20 / 4 = <<20/4=5>>5 quarts of lemonade left. Answer: \boxed{5}.