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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To make 12 cups of punch, Rafael needs 1 gallon of raspberry sorbet and 2 liters of lemon-lime soda.
Since there are 4 quarts in a gallon, Rafael needs 4 * 1 = <<4*1=4>>4 quarts of raspberry sorbet.
And since there are 4 cups in a quart, Rafael needs 4 * 4 = <<4*4=16>>16 cups of raspberry sorbet.
Rafael needs a total of 16 + 2 = <<16+2=18>>18 cups of ingredients to make the punch.
To make a profit of $10, Rafael needs to charge a total of 18 * (10/12) = <<18*(10/12)=15>>15 dollars for the punch.
Therefore, Rafael should charge a minimum of $15 per cup of punch to make a $10 profit.
First, we need to determine the cost of the ingredients Rafael needs for 12 cups of punch.
Raspberry sorbet:
1 quart of sorbet costs $4.00
There are 4 quarts in a gallon, so 1 gallon of sorbet costs $4.00 * 4 = $16.00
Lemon-lime soda:
Rafael needs 2 liters of soda
He pays $3.00 for a 2-liter container, so the cost of 2 liters of soda is $3.00
Total cost of ingredients for 12 cups of punch:
Cost of sorbet + Cost of soda = $16.00 + $3.00 = $19.00
Now, we need to determine the minimum amount Rafael should charge per cup to make a $10 profit.
Rafael wants to make a $10 profit, and he is making 12 cups of punch. So, he needs to charge a total of $19.00 (the cost of ingredients) + $10.00 (the desired profit) = $29.00
To find the price per cup, we divide the total amount by the number of cups:
Price per cup = Total price / Number of cups = $29.00 / 12 = $2.42 (rounded to the nearest hundredth)
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is $2.42.
To find the minimum amount Rafael should charge per cup of punch to make a $10 profit, we need to calculate the total cost of the ingredients and then add the desired profit.
First, let's calculate the cost of the raspberry sorbet. Since there are 4 quarts in a gallon and Rafael needs a gallon, he will need 4 quarts of sorbet.
The cost of 1 quart of sorbet is $4.00. Therefore, the cost of 4 quarts of sorbet is 4 * $4.00 = $16.00.
Next, let's calculate the cost of the lemon-lime soda. Rafael needs 2 liters of soda for 12 cups of punch. We know that he pays $3.00 for a 2-liter container of soda.
To calculate the cost of 2 liters of soda for 12 cups, we need to find the cost per cup. There are 2 liters in a 2-liter container, so the cost of 1 liter of soda is $3.00.
Since there are 1000 milliliters in a liter, there are 1000/2 = 500 milliliters in 1 liter.
To find the cost per milliliter of soda, we divide the cost per liter by the number of milliliters in a liter, which is $3.00 / 500 = $0.006 per milliliter.
Since there are 240 milliliters in a cup (as 1 liter has 1000 ml and 12 cups make 240 ml), the cost per cup of soda is $0.006 * 240 = $1.44.
Now let's calculate the total cost of the ingredients. The cost of sorbet is $16.00 and the cost of soda is $1.44. Therefore, the total cost is $16.00 + $1.44 = $17.44.
To determine the minimum amount Rafael should charge per cup of punch to make a $10 profit, we add the desired profit of $10 to the total cost of ingredients.
The minimum amount to charge per cup of punch is $17.44 + $10.00 = $27.44.
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is $27.44 (rounded to the nearest hundredth).