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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right answer please
To make 12 cups of punch, Rafael needs a gallon of raspberry sorbet and 2 liters of lemon-lime soda.
Since there are 4 quarts in a gallon, Rafael needs (4 * $4.00) = $16.00 worth of raspberry sorbet.
He also needs 2 liters of lemon-lime soda, which costs $3.00 per 2-liter container.
To calculate the total cost of the ingredients, we add the cost of the sorbet and the soda: $16.00 + $3.00 = $19.00.
Rafael wants to make a $10.00 profit. Therefore, the total amount he needs to make to cover costs and profit is $19.00 + $10.00 = $29.00.
Since he wants to make 12 cups of punch, he needs to charge $29.00 / 12 cups = $2.42 per cup.
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is $2.42(rounded to the nearest hundredth).
First, we need to determine the total cost of the ingredients Rafael is using.
1 gallon of raspberry sorbet is equal to 4 quarts. Since each quart costs $4.00, the total cost for a gallon of raspberry sorbet is 4 * $4.00 = $16.00.
2 liters of lemon-lime soda is equal to 2 * 1.05668821 quarts (since 1 liter is approximately equal to 1.05668821 quarts). Therefore, the total cost for 2 liters of lemon-lime soda is 2 * $3.00 = $6.00.
So in total, the cost for the ingredients is $16.00 + $6.00 = $22.00.
To make a $10 profit, Rafael needs to charge $22.00 + $10.00 (profit) = $32.00 for the punch.
Since there are 12 cups of punch, Rafael should charge $32.00 / 12 cups = $2.67 per cup of punch.
Therefore, Rafael should charge $2.67 per cup of punch to make a $10 profit.
To determine the minimum amount Rafael should charge per cup of punch in order to make a $10 profit, we need to calculate the cost of the ingredients and add the desired profit.
First, we need to convert the measurements to a consistent unit. Since there are 4 quarts in a gallon, we can calculate the cost of 1 gallon of sorbet as follows:
Cost of 1 gallon (4 quarts) of sorbet = $4.00/quart * 4 quarts = $16.00
Next, we need to calculate the cost of 12 cups of punch. We can find this by adding the cost of the sorbet and the soda together:
Cost of 1 gallon of raspberry sorbet = $16.00
Cost of 2 liters (2/3 gallon) of lemon-lime soda = $3.00/2 liters * 3 liters = $4.50
Total cost of ingredients for 12 cups of punch = $16.00 + $4.50 = $20.50
Now, we add the desired profit of $10.00 to the total cost of ingredients:
Total cost + desired profit = $20.50 + $10.00 = $30.50
To find the minimum amount Rafael should charge per cup of punch, we divide the total amount by the number of cups (12 cups):
Minimum price per cup = $30.50 / 12 cups ≈ $2.54
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is approximately $2.54.