Rafael is making punch and needs a gallon of raspberry sorbet and 2 L of lemon lime soda to make 12 cups. He pays three dollars for a 2 L container of lemon lime soda and four dollars for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit Remember there are 4 quarts and a gallon your answer should be a dollar amount rounded to the nearest hundredth

To make 12 cups of punch, Rafael needs 1 gallon of raspberry sorbet. Since there are 4 quarts in a gallon, he needs 4*4= <<4*4=16>>16 quarts.

He pays $4 for one quart of sorbet, so he pays 4*16=<<4*16=64>>64 dollars for the sorbet.
He also needs 2 L of lemon-lime soda, which he pays 3 dollars for.
So in total, Rafael pays 64+3 = <<64+3=67>>67 dollars for the ingredients.
Since he wants to make a $10 profit, he needs to charge a total of 67+10 = <<67+10=77>>77 dollars.
He is making 12 cups of punch, so he needs to charge 77/12 = <<77/12=6.42>>6.42 dollars per cup.
Rounding to the nearest hundredth, the minimum amount he should charge per cup is 6.42