afael is making punch and needs a gallon of raspberry 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 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.(1 point)
To make 12 cups of punch, Rafael needs 1 gallon of sorbet, which is 4 quarts. Therefore, he needs 4 quarts of sorbet.
The total cost of the sorbet is 4 quarts * $4.00 per quart = $<<4*4=16.00>>16.00.
To make 12 cups of punch, Rafael needs 2 liters of lemon-lime soda.
The total cost of the soda is 2 liters * $3.00 per liter = $<<2*3=6.00>>6.00.
The total cost of the ingredients is $16.00 + $6.00 = $<<16+6=22.00>>22.00.
To make a $10 profit, Rafael needs to charge $22.00 + $10.00 = $<<22+10=32.00>>32.00.
Therefore, Rafael should charge $32.00 / 12 cups = $2.67 per cup of punch. Answer: \boxed{2.67}.