Rafael is making punch and needs a gallon of raspbery sorbet and 2 liters of lemon lime soda to make 12 cups. He pays 3.00 for a 2 liter container of lemon lime soda and 4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a 10.00 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.
Rafael needs a gallon of raspberry sorbet, which is equal to 4 quarts, and 2 liters of lemon-lime soda.
A gallon is equal to 4 quarts, so Rafael needs 4 quarts of raspberry sorbet.
This means Rafael needs a total of 4 + 2 = <<4+2=6>>6 quarts of punch.
Since there are 4 quarts in a gallon, Rafael needs 6 / 4 = <<6/4=1.5>>1.5 gallons of punch.
To determine how much Rafael needs to charge per cup of punch, we need to calculate his total cost and add his desired profit.
Rafael pays $4.00 for 1 quart of sorbet, so he needs to pay 4 * 4 = $<<4*4=16.00>>16.00 for a gallon of sorbet.
He pays $3.00 for a 2-liter container of lemon-lime soda, so he needs to pay 3 * 3 = $<<3*3=9.00>>9.00 for 6 liters of soda.
Therefore, Rafael needs to pay a total of 16 + 9 = $<<16+9=25.00>>25.00 for the ingredients.
To make a $10.00 profit, Rafael needs to charge a total of 25 + 10 = $<<25+10=35.00>>35.00.
Since there are 12 cups in a gallon, Rafael needs to charge 35 / 12 = $<<35/12=2.92>>2.92 per cup of punch.
Therefore, Rafael should charge a minimum of $2.92 per cup of punch to make a $10.00 profit. Answer: \boxed{2.92}.