Natalie has 25% as many stickers as Olivia. Olivia has 130% as many stickers as Diana. If Olivia gives 48 stickers to Diana, both will then have an equal number of stickers. Find the average number of stickers the three of them have.

Natalie	Olivia	Diana
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Olivia	Diana	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of stickers that Olivia and Diana have
= 52 u + 40 u
= 92 u

After Olivia gives to Diana, both of them will have the same number of stickers. 

The total number of stickers that Olivia and Diana have remains unchanged.

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

Number of stickers that Olivia gives to Diana
= 52 u - 46 u
= 6 u

6 u = 48

1 u = 48 ÷ 6 = 8

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

Average number of stickers that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 8
= 280

Answer(s): 280