Tammy has 25% as many erasers as Shiyun. Shiyun has 130% as many erasers as Nicole. If Shiyun gives 54 erasers to Nicole, both will then have an equal number of erasers. Find the average number of erasers the three of them have.

Tammy	Shiyun	Nicole
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

The number of erasers that Tammy has is repeated.  Make the number of erasers that Tammy has the same. LCM of 4 and 13 is 52.

	Shiyun	Nicole	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of erasers that Shiyun and Nicole have
= 52 u + 40 u
= 92 u

After Shiyun gives to Nicole, both of them will have the same number of erasers. 

The total number of erasers that Shiyun and Nicole have remains unchanged.

Number of erasers that each of them will have
= 92 u ÷ 2
= 46 u

Number of erasers that Shiyun gives to Nicole
= 52 u - 46 u
= 6 u

6 u = 54

1 u = 54 ÷ 6 = 9

Total number of erasers that three of them have
= 92 u + 13 u
= 105 u

Average number of erasers that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 9
= 315

Answer(s): 315