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)
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First, we need to determine the total cost of the ingredients Rafael needs to make 12 cups of punch.
To make the punch, he needs 1 gallon of raspberry sorbet and 2 liters of lemon-lime soda.
Since there are 4 quarts in a gallon, a gallon of sorbet is equal to 4 * $4.00 = $16.00.
He also needs 2 liters of lemon-lime soda, which costs $3.00.
So, the total cost of the ingredients for 12 cups of punch is $16.00 + $3.00 = $19.00.
Next, we need to calculate how much Rafael needs to charge per cup to make a $10.00 profit.
Rafael wants to make a $10.00 profit, so he needs to charge $19.00 + $10.00 = $29.00 in total.
Since there are 12 cups, Rafael needs to charge $29.00 / 12 cups = $2.42 per cup of punch.
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10.00 profit is $2.42, rounded to the nearest hundredth. Answer: $2.42.
To find the minimum amount Rafael should charge per cup of punch, we need to calculate the total cost and then add the desired profit.
First, let's calculate the cost of the ingredients:
- Rafael needs a gallon of raspberry sorbet, which is 4 quarts. Since he pays $4.00 for a quart of sorbet, the total cost for the sorbet is 4 quarts * $4.00/quart = $16.00.
- He needs 2 liters of lemon-lime soda, and he pays $3.00 for a 2-liter container. So the total cost for the soda is $3.00.
Next, let's calculate the total cost of the punch:
The total cost of the punch is the sum of the costs of the sorbet and the soda: $16.00 + $3.00 = $19.00.
Now, let's calculate the minimum amount he should charge per cup to make a $10 profit:
Rafael wants to make a $10 profit, so we need to add this to the total cost of the punch: $19.00 + $10.00 = $29.00.
Finally, let's calculate the minimum amount he should charge per cup:
Since he wants to make 12 cups of punch, the minimum amount he should charge per cup is $29.00/12 cups = $2.42.
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is $2.42.
To find the minimum amount Rafael should charge per cup of punch to make a $10 profit, we need to calculate the total cost of the ingredients and then add the desired profit.
First, let's calculate the total cost of the ingredients:
- Rafael needs 2 liters of lemon-lime soda, which costs $3.00 per 2-liter container. So, the cost for the lemon-lime soda is $3.00.
- Rafael needs 1 gallon of raspberry sorbet, which is equivalent to 4 quarts. Each quart of sorbet costs $4.00, so a gallon of sorbet costs $4.00 x 4 = $16.00.
Now, let's calculate the total cost of the ingredients:
Total cost = Cost of lemon-lime soda + Cost of sorbet
Total cost = $3.00 + $16.00
Total cost = $19.00
Next, we need to calculate the total revenue needed to make a $10 profit:
Total revenue = Total cost + Desired profit
Total revenue = $19.00 + $10.00
Total revenue = $29.00
Finally, we need to calculate the minimum amount Rafael should charge per cup of punch:
Minimum amount per cup = Total revenue / Number of cups
Minimum amount per cup = $29.00 / 12 cups
Minimum amount per cup ≈ $2.42
Therefore, Rafael should charge a minimum of approximately $2.42 per cup of punch to make a $10 profit.