Sample Calculated Formula Question

Select the calculator icon on the Lockdown Browser toolbar (at the top) to solve this question: if a small glass contains 8 ounces of water, and a large glass contains 12 ounces of water, what is the total number of ounces in 2 large and 2 small glasses of water?

Note: The calculator tool will only appear if your instructor decides to enable it for the exam.

Question

Sample Calculated Formula Question

Select the calculator icon on the Lockdown Browser toolbar (at the top) to solve this question: if a small glass contains 8 ounces of water, and a large glass contains 12 ounces of water, what is the total number of ounces in 2 large and 2 small glasses of water?

Note: The calculator tool will only appear if your instructor decides to enable it for the exam.

BlackTom AI · Accepted Answer

Two operations—multiplication and addition—determine the total volume in ounces.

1) Relevant knowledge points and concepts
- Unit consistency: all quantities are in ounces, so they can be added.
- Multiplication as repeated addition: "2 large glasses" means 2 × (ounces per large glass).
- Commutative property of addition allows summing partial totals in any order.

2) Complete step-by-step reasoning
- Identify quantities: small glass = 8 ounces; large glass = 12 ounces.
- Compute total from the large glasses: 2 large = 2 × 12 ounces.
- Compute total from the small glasses: 2 small = 2 × 8 ounces.
- Add those two results to get the grand total.

3) Calculations with intermediate steps
- 2 × 12 = 24 (ounces from two large glasses)
- 2 × 8 = 16 (ounces from two small glasses)
- Total = 24 + 16 = 40 ounces

Alternate check (equivalent method):
- One large + one small = 12 + 8 = 20 ounces
- Two such pairs: 2 × 20 = 40 ounces

4) Why the correct answer is correct
Each multiplication finds the combined volume for each glass size, and adding those volumes gives the total. Both the direct sum (24 + 16) and the pair method (2 × 20) yield the same result, confirming arithmetic consistency and unit correctness.

5) Multiple-choice note / why other answers would be incorrect
There are no provided answer options in this prompt. Common incorrect approaches would be:
- Multiplying the number of glasses 4 × 8 = 32 (wrong because that assumes all glasses are small).
- Multiplying 4 × 12 = 48 (wrong because that assumes all glasses are large).
- Forgetting to multiply and only adding 12 + 8 = 20 (gives per-pair amount but not the total for two pairs).
All these deviate from correctly applying multiplication to each glass type and then summing.

6) Conclusion confirming the final answer
The correct total number of ounces in 2 large and 2 small glasses is 40, which matches the provided answer.

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