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ISEE Upper Level
Quantitative Reasoning

Citywide Art Competition Artwork Submission

Very Hard Word Problems Advanced Algebra

During a citywide art competition, each participant can submit up to 5 pieces of artwork. The competition organizers decide to reward the top 3 participants with monetary prizes: the first place receives $150, the second place $100, and the third place $50. If the total number of participants is P and the number of artworks submitted is A, with the condition that the total number of artworks adheres to the constraints of A = 3(P - 2), how many pieces of artwork are submitted if there are 20 participants?

Hint

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