Rafael 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)

Answer 1

Rafael needs 12 cups of punch, which is equivalent to 3 quarts since there are 4 quarts in a gallon.
He needs 1 gallon of raspberry sorbet, which is equivalent to 4 quarts.
Therefore, he needs a total of 4 + 3 = 7 quarts of raspberry sorbet and lemon-lime soda.
Rafael pays $4.00 for a quart of sorbet and $3.00 for a 2-liter container of lemon-lime soda.
To find the total cost of the sorbet, divide the total quarts by the quarts per container: 7 quarts / 4 quarts = 1.75 containers of sorbet.
To find the total cost of the soda, divide the total quarts by the quarts per container: 7 quarts / 2 quarts = 3.5 containers of soda.
To find the total cost, multiply the number of containers of each item by their respective prices: 1.75 containers * $4/container + 3.5 containers * $3/container = $7.00 + $10.50 = $17.50.
To make a $10 profit, Rafael should charge $17.50 + $10 = $<<17.5+10=27.50>>27.50.
Since he wants to make a $10 profit and needs to sell 12 cups of punch, he should charge $27.50 / 12 cups = $<<27.5/12=2.29>>2.29 per cup of punch.
Rounded to the nearest hundredth, Rafael should charge $2.29 per cup of punch to make a $10 profit. Answer: \boxed{2.29}.