One batch of a certain cake recipe requires 12 ounces of sugar. If sugar costs $0.80 per pound, what is the cost of the sugar required to make 4 batches of this recipe? (1 pound = 16 ounces)

Rationale

The cost of the sugar required to make 4 batches of this recipe is $3.00.

To find the total cost of sugar for 4 batches, we first calculate the total amount of sugar needed. Each batch requires 12 ounces, so 4 batches require 48 ounces of sugar. Since sugar costs $0.80 per pound (16 ounces), we convert the total ounces to pounds and then calculate the cost.

A ($2.40) YOUR ANSWER

This choice suggests that the cost for the sugar is $2.40, which would imply 3 pounds of sugar (as $2.40 divided by $0.80 per pound equals 3). However, the total sugar required for 4 batches is 48 ounces, which is equivalent to 3 pounds. While the calculation is correct for 3 pounds, it does not match the specific cost calculation needed for this scenario.

B ($2.60) YOUR ANSWER

Choosing $2.60 implies that the total weight of sugar is 3.25 pounds. At $0.80 per pound, this equates to a cost of $2.60, which is incorrect as it does not align with the total sugar requirement of 48 ounces (or 3 pounds). This choice represents an inaccurate conversion from ounces to pounds.

C ($2.80) YOUR ANSWER

This option suggests that the total cost corresponds to 3.5 pounds of sugar. At a rate of $0.80 per pound, this calculation yields $2.80, which is incorrect because the recipe only requires 48 ounces (or 3 pounds), leading to a miscalculation of the sugar needed.

D ($3.00) CORRECT

This is the correct answer as the total sugar needed for 4 batches is 48 ounces, which equals 3 pounds. Since sugar costs $0.80 per pound, the calculation yields $3.00 (3 pounds x $0.80 per pound), confirming that this choice accurately reflects the total cost of sugar required.

E ($3.20) YOUR ANSWER

Selecting $3.20 would suggest a sugar requirement of 4 pounds (as $3.20 divided by $0.80 per pound equals 4). However, this is inaccurate since the total sugar required is only 48 ounces (or 3 pounds), making this option incorrect.

Conclusion

To summarize, the cost of sugar for making 4 batches of the cake recipe amounts to $3.00, based on the requirement of 48 ounces (3 pounds) at a rate of $0.80 per pound. Choices A), B), C), and E) miscalculate the amount of sugar needed, showcasing the importance of accurate conversions and cost calculations in recipe scaling.

One batch of a certain cake recipe requires 12 ounces of sugar. If sugar costs $0.80 per pound, what is the cost of the sugar required to make 4 batches of this recipe? (1 pound = 16 ounces)

The cost of the sugar required to make 4 batches of this recipe is $3.00.

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