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.
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.
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.
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.
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.
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.
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.
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.
Related Questions
View allThe 25 students in a sixth-grade class each reported whether or not th...
The attendance for Monday through Friday at Company C is given in the...
A student claimed that multiplying any two fractions will always resul...
R and S are 2-digit positive integers. R is a multiple of 5, and S is...
A picnic cooler contains cans of orange soda and cans of grape soda on...
Related Quizzes
View allPraxis 5001 Test with Answers
Praxis 5002 Study Guide
5002 Praxis Practice Test
Reading & Language Arts Praxis 5002
Praxis 5002 Reading and Language Arts Exam
Praxis 5003 Exam with Outline
5003 Praxis Math Answers
Praxis 5003 Study Guide
Praxis Social Studies 5004
Praxis 5004 Social Studies
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations