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..,.,.
First, we need to convert the gallon of sorbet to quarts. Since there are 4 quarts in a gallon, Rafael needs 4 quarts of sorbet.
So, the cost of the sorbet is $4.00/quart x 4 quarts = $<<4*4=16.00>>16.00.
Next, we need to convert the 2 liters of lemon-lime soda to quarts. Since there are 1.057 quarts in a liter, Rafael needs 2 liters x 1.057 quarts/liter = <<2*1.057=2.114>>2.114 quarts of soda.
So, the cost of the soda is $3.00/2 liters x 2.114 quarts = $3.98.
Now we need to find the total cost, which is $16.00 + $3.98 = $19.98.
If Rafael wants to make a $10 profit and the total cost is $19.98, then he should charge $19.98 + $10 = $29.98 for 12 cups of punch.
Finally, Rafael should charge $29.98/12 cups = $<<29.98/12=2.4983333333333335>>2.50 per cup of punch.
Rounded to the nearest hundredth, Rafael should charge $2.50 per cup of punch. Answer: \boxed{2.50}.
wrong
I apologize for the error. Let's correct the calculation.
The cost of the sorbet is $4.00/quart x 4 quarts = $16.00.
The cost of the soda is $3.00/2 liters = $1.50 per liter = $1.50/1.057 quarts ≈ $1.42 per quart.
So, the total cost of the ingredients is $16.00 + 2 quarts x $1.42/quart = $16.00 + $2.84 = $18.84.
To make a $10 profit, Rafael should charge $18.84 + $10 = $28.84 for 12 cups of punch.
Finally, Rafael should charge $28.84/12 cups = $2.4033 per cup of punch.
Rounded to the nearest hundredth, Rafael should charge $2.40 per cup of punch.
Answer: $2.40.
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.
To make 12 cups of punch, Rafael needs a gallon of raspberry sorbet, which is 4 quarts, and 2 liters of lemon-lime soda.
The cost of the sorbet is $4.00 per quart, so a gallon (4 quarts) of sorbet costs $4.00/quart * 4 quarts = $16.00.
The cost of the soda is $3.00 for a 2-liter container. Since there are 1.057 quarts in a liter, Rafael needs 2 liters * 1.057 quarts/liter = 2.114 quarts of soda. So the cost of the soda is $3.00/2 liters * 2.114 quarts = $3.98.
Therefore, the total cost of the ingredients is $16.00 + $3.98 = $19.98.
To make a $10 profit, Rafael needs to charge $19.98 + $10.00 = $29.98.
Rafael is making 12 cups of punch, so he needs to charge $29.98/12 cups = $2.50 per cup of punch.
Rounded to the nearest hundredth, Rafael should charge $2.50 per cup of punch.
Answer: $2.50