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.
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}.
To find the minimum Terry should charge per cup to make a $10 profit, we need to calculate the total cost and the total number of cups. Let's break it down step by step:
1. Terry needs 2 liters of root beer to make 12 cups.
- Since 1 liter contains 4 cups, 2 liters will contain 8 cups.
2. Terry needs a gallon of ice cream to make 12 cups.
- Since 1 gallon contains 16 cups, a gallon of ice cream will contain 16 cups.
3. Now let's calculate the total cost of the root beer and ice cream.
- The root beer costs $3 for a 2-liter bottle, which means $3 for 8 cups.
- The ice cream costs $4 for a quarter gallon, which means $4 for 4 cups.
Adding these costs together:
- Root beer cost: $3
- Ice cream cost: $4
Total cost = $3 + $4 = $7
4. Terry wants to make a $10 profit. So he needs to cover the total cost and make a profit of $10.
- Total cost + Profit = $7 + $10 = $17
5. Terry is making 12 cups, so let's calculate the minimum price per cup to cover the expenses and make a $10 profit.
- Minimum price per cup = Total cost + Profit / Number of cups
- Minimum price per cup = $17 / 12 cups
Calculating: $17 / 12 = $1.416666...
Rounded to the nearest hundredth, Terry should charge $1.42 per cup to make a $10 profit.
To find the minimum price Terry should charge per cup to make a $10 profit, we need to calculate the total cost of the ingredients first.
1 gallon of ice cream is equal to 4 quarters, so Terry needs 4 * $4 = $<<4*4=16>>16 worth of ice cream.
For the root beer, Terry needs 2 liters, which is 2/2 = 1 quarter. Therefore, he needs 1 * $3 = $<<1*3=3>>3 worth of root beer.
The total cost of the ingredients is $16 + $3 = $<<16+3=19>>19.
Now we need to find the number of cups in a gallon. Since there are 16 cups in a gallon, Terry is making 12/16 = 0.75 gallons of smoothie.
To calculate the price per cup that Terry should charge, we divide the total cost by the number of cups: $19 / 12 = $<<19/12=1.58>>1.58
Finally, to make a $10 profit, we add $10 to the price per cup: $1.58 + $10 = $<<1.58+10=11.58>>11.58.
Therefore, Terry should charge a minimum of $11.58 per cup to make a $10 profit, rounded to the nearest hundredth.