Question

Rafael is making punch and needs a gallon of raspberry sorbet and 2 litters of lemon-lime soda to make 12 cups. He pays $3.00 for a 2-litter 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 dollar profit? The answer should be a dollar amount rounded to the nearest 100th.

Answer 1

Wrong answer

Answer 2

To make 12 cups of punch, Rafael needs 1 gallon (4 quarts) of sorbet and 2 liters (67.63 ounces) of lemon-lime soda.

Since 1 gallon is equal to 128 ounces, Rafael needs 128/12 = 10.67 ounces of sorbet per cup of punch.

To charge the minimum amount per cup of punch, Rafael needs to divide the total cost by the number of cups.

The cost of 10.67 ounces of sorbet is 10.67/8 * $4.00 = $5.34.

The cost of 67.63 ounces of lemon-lime soda is 67.63/33.8 * $3.00 = $6.06.

The total cost of ingredients per cup of punch is $5.34 + $6.06 = $11.40.

To make a $10.00 profit, Rafael needs to charge $11.40 + $10.00 = $21.40.

Therefore, Rafael should charge $21.40 per cup of punch to make a $10.00 profit.

Answer 3

Apologies for the mistake. Let's recalculate the minimum amount Rafael should charge per cup of punch.

The total cost of ingredients for 12 cups of punch is the cost of the sorbet and soda combined:
Cost of sorbet: $4.00 per quart
Rafael needs 1 gallon (4 quarts) of sorbet, so the cost of sorbet is 4 * $4.00 = $16.00

Cost of soda: $3.00 for 2 liters
Rafael needs 2 liters of soda, so the cost of soda is $3.00

Total cost of ingredients: $16.00 + $3.00 = $19.00

To make a $10.00 profit, Rafael needs to cover his total cost ($19.00) plus the desired profit ($10.00) for a total revenue of $19.00 + $10.00 = $29.00

Since Rafael wants to make a profit and cover his costs for 12 cups, the minimum amount he should charge per cup is $29.00 / 12 cups = $2.42 (rounded to the nearest 100th).

Therefore, Rafael should charge at least $2.42 per cup of punch to make a $10.00 profit.