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2018 AMC 10B Question 8

AMC10 · 2018 AMC 10B

Question 8

Sara makes a staircase out of toothpicks as shown:

Question illustration

This is a $3$-step staircase and uses $18$ toothpicks. How many steps would be in a staircase that used $180$ toothpicks?
  1. $10$
  2. $11$
  3. $12$
  4. $24$
  5. $30$