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.

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 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.

GPT 3.5 · Answer

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}.