Difficulty: Easy
Correct Answer: 20
Explanation:
Introduction / Context:
We have a linear equation in an unknown percentage. Break the expression into two parts: the unknown portion applied to one number, and a fixed percentage applied to another number. Then solve algebraically for the unknown percentage.
Given Data / Assumptions:
Concept / Approach:
Compute the known part first: 25% of 68. Then subtract it from 67 to isolate p% of 250. Finally, convert the resulting percent-of relation into a direct percent p by scaling.
Step-by-Step Solution:
Verification / Alternative check:
Check: 20% of 250 = 50; 25% of 68 = 17; total = 67. Verified.
Why Other Options Are Wrong:
10, 12, 15, 25 yield totals other than 67 when substituted, so they do not satisfy the equation.
Common Pitfalls:
Confusing percent with decimal or failing to compute 25% of 68 accurately. Always isolate the unknown term methodically.
Final Answer:
20
Discussion & Comments