Percent combination: 35% of 121 + 85% of 230.25 ≈ ?
Correct Answer: 240
Introduction / Context:This question combines two percentage calculations and asks for an approximate total. We compute each term to two decimals and then select the closest offered answer.Given Data / Assumptions:
- Compute: 0.35 * 121 + 0.85 * 230.25.
- Round to the nearest integer among the options.
Concept / Approach:Evaluate each percentage precisely enough to determine the nearest choice; do not average percentages directly, but convert each to actual numbers before summing.Step-by-Step Solution:
35% of 121 = 0.35 * 121 = 42.35.85% of 230.25 = 0.85 * 230.25 = 195.7125.Total ≈ 42.35 + 195.7125 = 238.0625.Nearest listed option: 240.Verification / Alternative check:Rounding each component to two decimals (42.35 and 195.71) still sums near 238.06; the nearest among 225, 230, 240, 245 is 240 by a comfortable margin.Why Other Options Are Wrong:
- 225 or 230: Too small compared with the calculated 238.06.
- 245: Slightly high relative to the total.
Common Pitfalls:Confusing 35% with 0.35 of 121 versus 35 of 121, or rounding prematurely on intermediate steps causing drift. Compute both terms then round the final total.Final Answer:
240