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2023 AMC 8 Question 18

AMC8 · 2023 AMC 8

Question 18

Greta Grasshopper sits on a long line of lily pads in a pond. From any lily pad, Greta can jump $5$ pads to the right or $3$ pads to the left. What is the fewest number of jumps Greta must make to reach the lily pad located $2023$ pads to the right of her starting position?
  1. $405$
  2. $407$
  3. $409$
  4. $411$
  5. $413$