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 3 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 3 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

Small glass = 8 ounces; large glass = 12 ounces.

1. Relevant knowledge points and concepts
- Basic arithmetic operations: multiplication to find total volume for multiple identical items, and addition to combine totals. 
- Unit consistency: all amounts are in ounces, so no unit conversion is needed.

2. Complete reasoning process step by step
- Determine the volume contributed by the large glasses: there are 2 large glasses, each 12 ounces. Multiply to get the total from large glasses.
- Determine the volume contributed by the small glasses: there are 3 small glasses, each 8 ounces. Multiply to get the total from small glasses.
- Add the two subtotals to get the overall total in ounces.

3. Calculations with intermediate steps
- Large glasses: 2 × 12 ounces = 24 ounces.
- Small glasses: 3 × 8 ounces = 24 ounces.
- Total: 24 ounces + 24 ounces = 48 ounces.

4. Why the correct answer is correct
- Multiplying the count of each glass by its volume yields the exact volume contributed by that glass type. Adding those contributions accounts for all glasses. Both subtotals are 24 ounces, so their sum, 48 ounces, is the exact total volume for 2 large and 3 small glasses.

5. Why other possible answers would be incorrect
- 40 ounces could arise from incorrectly using 5 glasses × 8 ounces (treating all glasses as small); this ignores that two are larger.
- 60 ounces could come from using 5 × 12 ounces (treating all as large), which overestimates the contribution of the small glasses.
- 28, 32, or similar numbers result from arithmetic mistakes (e.g., adding instead of multiplying or miscalculating 3×8 or 2×12).

6. Conclusion confirming the answer
- The correct total is 48 ounces, which matches the provided answer.

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