When Brazos Valley College won the badminton championship, the Student Congress sold championship memorabilia. They set up a booth in the Student Center and sold championship sweatshirts, T-shirts, and caps. The sweatshirts sold for $22, the T-shirts for $14, and the caps for $8. The total number of these items was 184, and if all were sold then the Student Congress would receive $2784. At the end of the first day, they were pleased to learn they had sold three fourths of the sweatshirts, half of the T-shirts, and a fourth of the caps for a total of 96 items. Determine how many of each item they started with.
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