Tiffany has 25% as many stickers as Zoe. Zoe has 130% as many stickers as Opal. If Zoe gives 30 stickers to Opal, both will then have an equal number of stickers. Find the average number of stickers the three of them have.

Tiffany	Zoe	Opal
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Zoe	Opal	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 Zoe and Opal have
= 52 u + 40 u
= 92 u

After Zoe gives to Opal, both of them will have the same number of stickers. 

The total number of stickers that Zoe and Opal have remains unchanged.

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

Number of stickers that Zoe gives to Opal
= 52 u - 46 u
= 6 u

6 u = 30

1 u = 30 ÷ 6 = 5

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 5
= 175

Answer(s): 175