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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Let's calculate the total cost of the ingredients first.
Raspberry sorbet: 1 gallon * $4/gallon * 4 quarts/gallon = $<<1*4*4=16>>16
Lemon-lime soda: 2 liters * $3/liter = $<<2*3=6>>6
The total cost of the ingredients is $16 + $6 = $<<16+6=22>>22.
Now, let's calculate how many cups can be made with a gallon of raspberry sorbet and 2 liters of lemon-lime soda.
1 gallon = 16 cups
2 liters = 2.11338 quarts
2.11338 quarts = 2.11338 * 4 = 8.45352 cups
So, a total of 16 + 8.45352 = 24.45352 cups can be made.
To make a $10 profit, he needs to charge a total of $22 + $10 = $32.
Therefore, the minimum amount he should charge per cup of punch is $32 / 24.45352 cups = $<<32/24.45352=1.3095990386867295>>1.31 (rounded to the nearest hundredth).
So, he should charge at least $1.31 per cup of punch to make a $10 profit.
wrong
I apologize for the mistake. Let's calculate the correct answer.
The total cost of the ingredients is $16 + $6 = $22, as we calculated before.
To make a $10 profit, Rafael needs to charge a total of $22 + $10 = $32.
Since there are 12 cups of punch, Rafael needs to charge $32 / 12 = $2.67 (rounded to the nearest hundredth) per cup.
So, the minimum amount Rafael should charge per cup of punch to make a $10 profit is $2.67.
wrong again
Apologies for the incorrect response. Let's re-calculate.
The gallon of raspberry sorbet is 4 quarts, so it is equal to 4 * 4 = 16 cups.
Rafael needs a total of 12 cups of punch, which means he will use 12 / 16 = 0.75 gallons of raspberry sorbet.
The cost of the raspberry sorbet is $4.00 per quart, so 0.75 gallons will cost 0.75 * $4.00 = $3.00.
The cost of the lemon-lime soda is $3.00 for a 2-liter container, which is equal to 2 liters = 2 * $3.00 = $6.00.
The total cost of the ingredients is $3.00 + $6.00 = $9.00.
Rafael needs to make a $10.00 profit, so the revenue he needs to generate is $9.00 + $10.00 = $19.00.
Since the amount of punch he is making is 12 cups, he needs to charge $19.00 / 12 = $1.58 (rounded to the nearest hundredth) per cup.
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is $1.58.
wrong
Apologies for the confusion. Let's recalculate once more.
The gallon of raspberry sorbet is 4 quarts, which is equal to 4 * 4 = 16 cups.
Rafael needs a total of 12 cups of punch, so he needs 12 / 16 = 0.75 gallons of raspberry sorbet.
The cost of the raspberry sorbet is $4.00 per quart, so 0.75 gallons will cost 0.75 * $4.00 = $3.00.
The cost of the lemon-lime soda is $3.00 for a 2-liter container.
Let's calculate the total cost of the ingredients: $3.00 (raspberry sorbet) + $3.00 (lemon-lime soda) = $6.00.
Rafael wants to make a $10.00 profit, so he needs to charge a total of $6.00 + $10.00 = $16.00.
Since he is making 12 cups of punch, he needs to charge $16.00 / 12 = $1.33 (rounded to the nearest hundredth) per cup.
Therefore, the minimum amount he should charge per cup of punch to make a $10 profit is $1.33.
wrong
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)
Apologies for the previous incorrect responses. Let's calculate the correct answer.
To make 12 cups of punch, Rafael needs a gallon of raspberry sorbet and 2 liters of lemon-lime soda.
The cost of a quart of sorbet is $4.00, and there are 4 quarts in a gallon, so the cost of a gallon of sorbet is 4 * $4.00 = $<<4*4=16>>16.00.
The cost of a 2-liter container of lemon-lime soda is $3.00.
The total cost of the ingredients is $16.00 + $3.00 = $<<16+3=19>>19.00.
To make a $10.00 profit, Rafael needs to charge a total of $19.00 + $10.00 = $29.00.
Since he is making 12 cups of punch, he needs to charge $29.00 / 12 cups = $<<29/12=2.42>>2.42 (rounded to the nearest hundredth) per cup.
Therefore, the minimum amount he should charge per cup of punch to make a $10.00 profit is $2.42.
Randi needs to mow her lawn. The mixture requires 5 gallons of gas for every 2 gallons of oil. How much oil will she need for 8 gallons of gas? Your answer should be in tenths.(1 point)
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