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IMAS 2023–2024 Junior Division — First Round Question 12

IMAS · IMAS 2023–2024 Junior Division — First Round

Question 12

There are 2 types of games at a school party, denoted by X and Y. A student gets 7 points for game X and get 11 points for game Y. The students can play $x$ times of game X and $y$ times of game Y. If a student gets exactly 472 points in total, then he can get the special prize. What is the minimum possible value of $x+y$ to get the special prize?
  1. $44$
  2. $48$
  3. $52$
  4. $60$
  5. $64$