Three girls used the same number of small pebbles to make necklaces. Olivia used ³₅ of her small pebbles, Sarah used ²₃ of hers and Hazel used ³₄ of hers. They had a total of 108 small pebbles at first. How many small pebbles did each girl use?
Make the numerators the same.   

LCM of 3, 2 and 3 = 6

³₅ Olivia's small pebbles = ²₃ Sarah's small pebbles = ³₄ Hazel's small pebbles
^3x2_5x2 Olivia's small pebbles = ^2x3_3x3 Sarah's small pebbles = ^3x2_4x2 Hazel's small pebbles
⁶₁₀ Olivia's small pebbles = ⁶₉ Sarah's small pebbles = ⁶₈ Hazel's small pebbles

	Olivia	Sarah	Hazel
Before	10 u	9 u	8 u
Change	- 6 u	- 6 u	- 6 u
After	4 u	3 u	2 u

Total number of small pebbles at first
= 10 u + 9 u + 8 u
= 27 u

27 u = 108

1 u = 108 ÷ 27 = 4

Number of small pebbles that each girl used
= 6 u
= 6 x 4
= 24

Answer(s): 24