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 sorbet.
So, Rafael needs a total of 4 quarts + 2 liters = <<4+2=6>>6 quarts + liters.
Since 1 quart is equal to 0.25 gallons, then 1 liter is equal to 0.25 liters and 2 liters is equal to 0.5 liters.
Therefore, Rafael needs a total of 6 * 0.25 = 1.50 gallons of lemon-lime soda and sorbet.
To make a profit of $10, Rafael should charge a total of $10 + $4 (cost of sorbet) + $3 (cost of soda) = $10 + $4 + $3 = $17.
To find out the total number of cups he can make with 1.50 gallons, we multiply 1.50 gallons by 16 cups per gallon (1 gallon is equal to 16 cups). This gives us 1.50 * 16 = 24 cups.
To find the minimum amount he should charge per cup of punch, we divide the total amount he should charge ($17) by the total number of cups he can make (24 cups). This gives us $17 / 24 cups = $0.71 per cup.
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is $0.71, rounded to the nearest hundredth. Answer: $0.71.
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.
3 answers
wrong
I apologize for the mistake. Let's redo the calculations:
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, he needs 4 quarts of sorbet.
Rafael pays $4.00 for a quart of sorbet, so he pays 4 * 4 = $<<4*4=16.00>>16.00 for a gallon of sorbet.
He pays $3.00 for a 2-liter container of soda, which is equivalent to 2 / 2.11338 = 0.94635 gallons.
Therefore, Rafael pays a total of 16.00 + 3.00 = $<<16+3=19.00>>19.00 for the ingredients.
To make a $10.00 profit, he needs to earn 19.00 + 10.00 = $<<19+10=29.00>>29.00 in total.
Since he wants to make 12 cups of punch, he should charge 29.00 / 12 = $<<29/12=2.42>>2.42 per cup of punch.
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is $2.42, rounded to the nearest hundredth. Answer: $2.42.
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, he needs 4 quarts of sorbet.
Rafael pays $4.00 for a quart of sorbet, so he pays 4 * 4 = $<<4*4=16.00>>16.00 for a gallon of sorbet.
He pays $3.00 for a 2-liter container of soda, which is equivalent to 2 / 2.11338 = 0.94635 gallons.
Therefore, Rafael pays a total of 16.00 + 3.00 = $<<16+3=19.00>>19.00 for the ingredients.
To make a $10.00 profit, he needs to earn 19.00 + 10.00 = $<<19+10=29.00>>29.00 in total.
Since he wants to make 12 cups of punch, he should charge 29.00 / 12 = $<<29/12=2.42>>2.42 per cup of punch.
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is $2.42, rounded to the nearest hundredth. Answer: $2.42.