Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of Sprite to make 12 cups. He pays $3.00 for a 2-liter container of Sprite 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)
2.42 is the answer
yw
Thank you! jezz
To find the minimum amount Rafael should charge per cup of punch to make a $10 profit, we need to calculate the cost of the ingredients per cup of punch and add the desired profit.
First, let's calculate the cost of the raspberry sorbet. Since there are 4 quarts in a gallon, Rafael needs 1/4 gallon of sorbet for 12 cups. Therefore, he needs (1/4) / 12 gallons of sorbet per cup. Multiplying this by the cost of a quart of sorbet gives us the cost of sorbet per cup.
(1/4) / 12 * $4.00 = $0.0833 (rounded to four decimal places)
Next, let's calculate the cost of the Sprite. Rafael needs 2 liters of Sprite for 12 cups. Multiplying this by the cost of a liter of Sprite gives us the cost of Sprite per cup.
2 / 12 * $3.00 = $0.50
Now, let's add the cost of the sorbet per cup and the cost of the Sprite per cup to find the total cost per cup.
$0.0833 + $0.50 = $0.5833 (rounded to four decimal places)
Finally, let's add the desired profit of $10 to find the minimum amount Rafael should charge per cup.
$0.5833 + $10.00 = $10.58
Therefore, Rafael should charge a minimum of $10.58 per cup of punch to make a $10 profit.
To make 12 cups of punch, Rafael needs a gallon of raspberry sorbet and 2 liters of Sprite. Since there are 4 quarts in a gallon, Rafael needs 4 quarts of sorbet to make a gallon.
Therefore, Rafael needs:
- 4 quarts of sorbet = $4.00
- 2 liters of Sprite = $3.00
In total, Rafael's cost for the ingredients is $4.00 (sorbet) + $3.00 (Sprite) = $7.00.
To make a profit of $10.00, he needs to charge more than his cost.
Total amount he should charge = Cost + Profit
Total amount he should charge = $7.00 + $10.00 = $17.00
Since he is making 12 cups, the cost per cup should be $17.00 รท 12 = $1.42
Therefore, Rafael should charge at least $1.42 per cup of punch to make a $10.00 profit.
since a gallon is already more than 12 cups, how can she need 1 gallon plus 2 liters to make 12 cups?
BOGUS!
However,
since 1 liter = 4.23 cups, it costs $19.00 to make 24.26 cups of punch
so to make $10 on 12 cups, that would be 1/2 a batch, costing $9.50
so she needs to charge 19.50/12 = $1.63 per cup