Three girls used the same number of small pebbles to make bracelets. Kylie used ³₅ of her small pebbles, Mary used ²₃ of hers and Gwen used ³₄ of hers. They had a total of 324 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 Kylie's small pebbles = ²₃ Mary's small pebbles = ³₄ Gwen's small pebbles
^3x2_5x2 Kylie's small pebbles = ^2x3_3x3 Mary's small pebbles = ^3x2_4x2 Gwen's small pebbles
⁶₁₀ Kylie's small pebbles = ⁶₉ Mary's small pebbles = ⁶₈ Gwen's small pebbles

	Kylie	Mary	Gwen
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 = 324

1 u = 324 ÷ 27 = 12

Number of small pebbles that each girl used
= 6 u
= 6 x 12
= 72

Answer(s): 72