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

Gem	Vanessa	Opal
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

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

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

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

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

Number of stickers that Vanessa gives to Opal
= 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