Victoria has 25% as many stamps as Nora. Nora has 130% as many stamps as Ivory. If Nora gives 54 stamps to Ivory, both will then have an equal number of stamps. Find the average number of stamps the three of them have.

Victoria	Nora	Ivory
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Nora	Ivory	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of stamps that Nora and Ivory have
= 52 u + 40 u
= 92 u

After Nora gives to Ivory, both of them will have the same number of stamps. 

The total number of stamps that Nora and Ivory have remains unchanged.

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

Number of stamps that Nora gives to Ivory
= 52 u - 46 u
= 6 u

6 u = 54

1 u = 54 ÷ 6 = 9

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

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

Answer(s): 315