Question

shantel has 3 red, 9 purple and 18 green hair ties. she divides all the hair ties up into the largest possible number of groups with the same number of red, purple and green hair ties. how many groups of hair ties are there? 6 groups 3 groups 9 groups 1 groups

Explanation:

Step1: Find GCD of 3,9,18

Factors of 3: \(1, 3\)
Factors of 9: \(1, 3, 9\)
Factors of 18: \(1, 2, 3, 6, 9, 18\)
Common factors: \(1, 3\). Largest is \(3\).

Step2: Determine number of groups

The greatest common divisor (GCD) of 3, 9, 18 is 3, so the largest number of groups is 3.

Answer:

B. 3 groups