If Tate collected 20 times as many rare coins as Pearl, we can set up a proportion to find out how many coins Pearl collected. Let x be the number of rare coins Pearl collected. Then we have:
x / 120 = 1 / 20
To solve for x, we can cross-multiply:
20x = 120
Dividing both sides by 20, we get:
x = 6
Therefore, Pearl collected 6 rare coins.