Three girls used the same number of smoothed stones to make bracelets. Anna used ²₅ of her smoothed stones, Emily used ³₄ of hers and Betty used ²₃ of hers. They had a total of 160 smoothed stones at first. How many smoothed stones did each girl use?
Make the numerators the same.   

LCM of 2, 3 and 2 = 6

²₅ Anna's smoothed stones = ³₄ Emily's smoothed stones = ²₃ Betty's smoothed stones
^2x3_5x3 Anna's smoothed stones = ^3x2_4x2 Emily's smoothed stones = ^2x3_3x3 Betty's smoothed stones
⁶₁₅ Anna's smoothed stones = ⁶₈ Emily's smoothed stones = ⁶₉ Betty's smoothed stones

	Anna	Emily	Betty
Before	15 u	8 u	9 u
Change	- 6 u	- 6 u	- 6 u
After	9 u	2 u	3 u

Total number of smoothed stones at first
= 15 u + 8 u + 9 u
= 32 u

32 u = 160

1 u = 160 ÷ 32 = 5

Number of smoothed stones that each girl used
= 6 u
= 6 x 5
= 30

Answer(s): 30