Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of Sprite to make 12 cups. He pays $3.00 for a 2-liter container of Sprite 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
First, we need to convert the measurements so that they are consistent in units.
Since there are 4 quarts in a gallon, Rafael will need 4 * $4.00 = $16.00 worth of raspberry sorbet for one gallon.
To make 12 cups of punch, Rafael will need 12 / 16 = 0.75 gallons of raspberry sorbet.
Next, Rafael will need 2 liters of Sprite, which costs $3.00. There are 3.78541 liters in a gallon, so he will need 0.75 * 2 / 3.78541 = 0.3957 gallons of Sprite.
Rafael's total cost for the raspberry sorbet and Sprite is $16.00 + $3.00 = $19.00.
If Rafael wants to make a $10 profit, then he needs to charge a total of $19 + $10 = $29.00.
Since Rafael wants to make 12 cups, the minimum amount he should charge per cup is $29.00 / 12 = $2.42.
Rounded to the nearest hundredth, Rafael should charge $2.42 per cup of punch to make a $10 profit.