Sample Calculated Formula 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?

Question

Sample Calculated Formula 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?

BlackTom AI · Accepted Answer

Ounces are additive units of volume; multiply the number of each type of glass by its ounce capacity, then add the results.

1. Relevant knowledge points and concepts
- Units: ounces measure liquid volume and are directly additive.
- Multiplication as repeated addition: x glasses each containing y ounces yields x × y ounces.
- Addition to combine totals from different categories.

2. Step-by-step reasoning
- Determine the total ounces from the large glasses.
- Determine the total ounces from the small glasses.
- Add those two totals to get the overall amount.

3. Calculations with intermediate steps
- Large glasses: 1 large = 12 ounces, so 2 large = 2 × 12 = 24 ounces.
- Small glasses: 1 small = 8 ounces, so 3 small = 3 × 8 = 24 ounces.
- Total ounces = ounces from large + ounces from small = 24 + 24 = 48 ounces.

4. Why the correct answer is correct
Each glass contributes a fixed number of ounces. Multiplying the count of each glass type by its ounce capacity gives the exact contribution of that type, and adding the contributions yields the precise total volume. The arithmetic above (2×12 and 3×8 then sum) directly computes the total amount of water.

5. Why other answers would be incorrect (common mistakes)
- Adding glass counts instead of volumes (2 + 3 = 5) and then multiplying by one glass size would mix units and give a meaningless result.
- Omitting multiplication or miscomputing one product (e.g., 2×12 = 22) would produce wrong totals.
- Using an incorrect operation like averaging (20 ounces average × 5 glasses = 100) is not applicable because ounces are additive, not averaged.

6. Conclusion
The total number of ounces in 2 large and 3 small glasses is 48 ounces. This matches the provided correct answer: 48.

Sample Calculated Formula 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?简答题

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