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 liters container of lemon lime soda and $4.00 for a quart a sorbet. What is the minimum amount he should charge per a cup all by myself punch to make $10 profit? (Remember there are four quarts in a gallon.) Your answers should be a dollar amount rounded to the nearest hundredth.
First, we need to determine the total cost of the raspberry sorbet. Since there are 4 quarts in a gallon, Rafael needs to buy 4 quarts of sorbet, resulting in a total cost of 4 * $4.00 = $<<4*4=16.00>>16.00 for the sorbet.
Next, we need to determine the total cost of the lemon lime soda. Rafael needs 2 liters of soda, which costs $3.00.
To calculate the total cost of ingredients, we add the cost of sorbet and soda: $16.00 + $3.00 = $19.00.
Next, we need to determine the total revenue needed to make a $10.00 profit. The total revenue is the sum of the cost and profit: $19.00 + $10.00 = $29.00.
Since Rafael is making 12 cups of punch, we divide the total revenue by the number of cups to find the minimum amount to charge per cup: $29.00 / 12 cups = $<<29/12=2.42>>2.42.
Therefore, Rafael should charge a minimum of $2.42 per cup of punch to make a $10.00 profit.