Solve for an unknown percent in a mixed expression: Find ? such that ?% of 250 + 25% of 68 = 67.

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:

• ?% of 250 + 25% of 68 = 67.
• Let p be the unknown percent value (not decimal).

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