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 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 measurements to the same unit. Since there are 4 quarts in a gallon, a gallon of raspberry sorbet is equal to 4 quarts.
So Rafael needs to buy 4 quarts of raspberry sorbet, which cost $4.00 per quart, so it will cost him 4 * 4 = $<<4*4=16.00>>16.00.
He also needs 2 liters of lemon lime soda, which cost $3.00 per container, so it will cost him 3 * 2 = $<<3*2=6.00>>6.00.
So Rafael's total cost is 16.00 + 6.00 = $<<16+6=22.00>>22.00.
Now he wants to make a $10 profit, so he needs to charge at least 22.00 + 10.00 = $<<22+10=32.00>>32.00.
Since he wants to make 12 cups of punch, he needs to charge 32.00 / 12 = $<<32/12=2.67>>2.67 per cup.
Rounded to the nearest hundredth, the minimum amount Rafael should charge per cup is $2.67. Answer: \boxed{2.67}.
To determine the minimum amount Rafael should charge per cup of punch to make a $10 profit, we need to calculate the cost per cup and add the desired profit amount.
First, let's calculate the total cost of the ingredients required:
- 1 gallon of raspberry sorbet costs $4.00 per quart, and there are 4 quarts in a gallon. Hence, the cost of 1 gallon of sorbet is: $4.00/1 quart * 4 quarts = $16.00.
- 2 liters of lemon lime soda cost $3.00.
Next, let's determine the total cost per cup by dividing the total cost by the number of cups:
- The total cost is $16.00 (sorbet) + $3.00 (soda) = $19.00.
- The number of cups is 12.
Therefore, the cost per cup of punch is: $19.00 / 12 cups = $1.5833 per cup (rounded to four decimal places).
To calculate the minimum amount Rafael should charge per cup to make a $10 profit, we add the desired profit to the cost per cup:
- Desired profit: $10.00
- Cost per cup: $1.5833
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is: $10.00 + $1.5833 = $11.5833 (rounded to four decimal places) or approximately $11.58.
To calculate the minimum amount Rafael should charge per cup of punch, we need to determine the cost of the ingredients per cup and then add the desired profit.
First, let's calculate the cost of the ingredients:
- Rafael needs 1 gallon of raspberry sorbet, and there are 4 quarts in a gallon. So, he needs 4 quarts of sorbet, which cost $4.00 each. Therefore, the total cost of sorbet is 4 * $4.00 = $<<4*4=16.00>>16.00.
- Rafael also needs 2 liters of lemon lime soda. Since 1 liter is approximately equal to 1 quart, he needs 2 quarts of soda. Each container of soda costs $3.00. So, the total cost of soda is 2 * $3.00 = $<<2*3=6.00>>6.00.
Next, let's calculate the total cost of ingredients:
- The total cost of sorbet and soda is $16.00 + $6.00 = $<<16+6=22.00>>22.00.
Now, let's calculate the cost per cup:
- Rafael wants to make 12 cups of punch using the total cost of $22.00. Therefore, the cost per cup is $22.00 / 12 cups = $<<22/12=1.83>>1.83 (rounded to the nearest hundredth).
Finally, let's determine the minimum amount Rafael should charge per cup in order to make a $10 profit:
- Rafael wants to make a $10 profit. So, he should add $10 to the total cost of ingredients, which is $22.00.
- Thus, the minimum amount he should charge per cup of punch is $22.00 + $10 = $32.00.
Therefore, Rafael should charge a minimum of $1.83 per cup of punch in order to make a $10 profit.