Terry is making smoothies and needs a gallon of ice cream and 2 liters of root beer to make 12 cups. He pays $3 for a 2 liter of root beer and $4 for a quarter of ice cream. What is the minimum he should charge per cup to make a $10 profit? Answer should be dollar amount rounded to the nearest hundreth.

1 answer

To make 12 cups of smoothies, Terry needs 2 liters of root beer, which costs $3 per 2 liters, so he spends 3 * (12/2) = $<<3*(12/2)=18>>18 on root beer.
He also needs a gallon of ice cream, which costs $4 per quarter gallon, so he spends 4 * (4) = $<<4*(4)=16>>16 on ice cream.
In total, Terry spends 18 + 16 = $<<18+16=34>>34 on ingredients.
To make a profit of $10, he needs to charge at least 34 + 10 = $<<34+10=44>>44 in total.
Since he makes 12 cups, Terry needs to charge at least 44 / 12 = $<<44/12=3.67>>3.67 per cup.
Therefore, Terry should round up and charge $3.67 per cup to make a profit of $10. Answer: \boxed{3.67}.