Jane has 25% as many pens as Raeann. Raeann has 130% as many pens as Mary. If Raeann gives 30 pens to Mary, both will then have an equal number of pens. Find the average number of pens the three of them have.

Jane	Raeann	Mary
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Raeann	Mary	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of pens that Raeann and Mary have
= 52 u + 40 u
= 92 u

After Raeann gives to Mary, both of them will have the same number of pens. 

The total number of pens that Raeann and Mary have remains unchanged.

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

Number of pens that Raeann gives to Mary
= 52 u - 46 u
= 6 u

6 u = 30

1 u = 30 ÷ 6 = 5

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

Average number of pens that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 5
= 175

Answer(s): 175