Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
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 fo...Asked by hi hi
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)
(1 point)
Answers
Answered by
hi hi
wrong
Answered by
GPT 3.5
First, we need to calculate how many quarts are in a gallon by dividing a gallon by 4: 1 gallon / 4 quarts/gallon = 0.25 gallons/quart.
Then we multiply this number by the number of quarts Rafael needs to find how many gallons of sorbet he needs: 0.25 gallons/quart * 1 quart = <<0.25*1=0.25>>0.25 gallons.
Then we multiply this number by the number of cups per gallon to find how many cups of sorbet he needs: 0.25 gallons * 12 cups/gallon = <<0.25*12=3>>3 cups.
Then we multiply the price of one quart of sorbet by the number of quarts Rafael needs to find how much the sorbet costs: $4/quart * 1 quart = $<<4*1=4>>4.
Then we multiply the number of liters in a 2-liter container by the number of containers Rafael needs to find how many liters of soda he needs: 2 liters/container * 1 container = <<2*1=2>>2 liters.
Then we multiply the number of liters by the number of cups per liter to find how many cups of soda Rafael needs: 2 liters * 4 cups/liter = <<2*4=8>>8 cups.
Then we multiply the price per liter of soda by the number of liters Rafael needs to find how much he spends on soda: $3/liter * 2 liters = $<<3*2=6>>6.
Then we add the cost of the sorbet and the soda to find Rafael's total costs: $6 + $4 = $<<6+4=10>>10.
Then we add Rafael's desired profit of $10 to find the total amount he wants to make: $10 + $10 = $<<10+10=20>>20.
Then we divide the total amount Rafael wants to make by the total number of cups to find the price per cup: $20 / 12 cups = $<<20/12=1.67>>1.67. Answer: \boxed{1.67}.
Then we multiply this number by the number of quarts Rafael needs to find how many gallons of sorbet he needs: 0.25 gallons/quart * 1 quart = <<0.25*1=0.25>>0.25 gallons.
Then we multiply this number by the number of cups per gallon to find how many cups of sorbet he needs: 0.25 gallons * 12 cups/gallon = <<0.25*12=3>>3 cups.
Then we multiply the price of one quart of sorbet by the number of quarts Rafael needs to find how much the sorbet costs: $4/quart * 1 quart = $<<4*1=4>>4.
Then we multiply the number of liters in a 2-liter container by the number of containers Rafael needs to find how many liters of soda he needs: 2 liters/container * 1 container = <<2*1=2>>2 liters.
Then we multiply the number of liters by the number of cups per liter to find how many cups of soda Rafael needs: 2 liters * 4 cups/liter = <<2*4=8>>8 cups.
Then we multiply the price per liter of soda by the number of liters Rafael needs to find how much he spends on soda: $3/liter * 2 liters = $<<3*2=6>>6.
Then we add the cost of the sorbet and the soda to find Rafael's total costs: $6 + $4 = $<<6+4=10>>10.
Then we add Rafael's desired profit of $10 to find the total amount he wants to make: $10 + $10 = $<<10+10=20>>20.
Then we divide the total amount Rafael wants to make by the total number of cups to find the price per cup: $20 / 12 cups = $<<20/12=1.67>>1.67. Answer: \boxed{1.67}.
Answered by
GPT 3.5
Apologies for the mistake. Let's correct it.
To make 12 cups of punch, Rafael needs 1 gallon of raspberry sorbet, which is 4 quarts. He also needs 2 liters of lemon-lime soda, which is approximately 2.11 quarts.
To calculate the cost of sorbet, Rafael needs to buy 4 quarts, so the total cost of sorbet is 4 quarts * $4/quart = $16.
Similarly, Rafael needs to buy 2.11 quarts of soda, which costs $3/liter. So, the total cost of soda is 2.11 quarts * $3/quart = $6.33.
Therefore, Rafael's total cost for making the punch is $16 + $6.33 = $22.33.
Now, Rafael wants to make a $10 profit. So he needs to charge a total of $22.33 + $10 = $32.33.
Since Rafael needs to make 12 cups of punch, he should charge $32.33 / 12 cups ≈ $2.69 per cup.
Thus, the minimum amount Rafael should charge per cup of punch to make a $10 profit is approximately $2.69.
To make 12 cups of punch, Rafael needs 1 gallon of raspberry sorbet, which is 4 quarts. He also needs 2 liters of lemon-lime soda, which is approximately 2.11 quarts.
To calculate the cost of sorbet, Rafael needs to buy 4 quarts, so the total cost of sorbet is 4 quarts * $4/quart = $16.
Similarly, Rafael needs to buy 2.11 quarts of soda, which costs $3/liter. So, the total cost of soda is 2.11 quarts * $3/quart = $6.33.
Therefore, Rafael's total cost for making the punch is $16 + $6.33 = $22.33.
Now, Rafael wants to make a $10 profit. So he needs to charge a total of $22.33 + $10 = $32.33.
Since Rafael needs to make 12 cups of punch, he should charge $32.33 / 12 cups ≈ $2.69 per cup.
Thus, the minimum amount Rafael should charge per cup of punch to make a $10 profit is approximately $2.69.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.