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

Usha	Fanny	Shiyun
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Fanny	Shiyun	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 Fanny and Shiyun have
= 52 u + 40 u
= 92 u

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

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

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

Number of erasers that Fanny gives to Shiyun
= 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