The difference between 78% and 59% of a number is 323. What is 62% of that number?

Introduction / Context:
Express percentage statements algebraically to solve for the unknown number, then apply the required percentage to find the requested value.

Given Data / Assumptions:

• Let the number be N.
• 0.78N − 0.59N = 323.
• Find 0.62N.

Concept / Approach:
Combine like terms on the left to isolate N, then multiply N by 0.62 to get 62% of the number.

Step-by-Step Solution:

Verification / Alternative check:
78% of 1700 = 1326; 59% = 1003; difference = 323, confirming N.

Why Other Options Are Wrong:
Values like 1159 or 1178 result from using 68% or 69% by mistake; 1037 reflects arithmetic slips.

Common Pitfalls:
Treating the 323 as 19% itself rather than as the result of 19% of N.

Final Answer:
1054