Algebra-1

Question Analysis
This question tests the student's ability to set up and solve an equation based on a word problem. The key is to translate the given information into a mathematical equation and then solve it.

Key Concept Explanation
The problem involves setting up an equation based on the relationship between the number of T-shirts and hats sold. The total number of items sold is given, and the relationship between the quantities is provided.

Step-by-step Solution
1. Let be the number of hats sold.
2. The number of T-shirts sold is 30 more than the number of hats sold, so the number of T-shirts sold is .
3. The total number of T-shirts and hats sold is 100, so the equation is .
4. Simplify the equation:

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