Erika has 25% as many pens as Kylie. Kylie has 130% as many pens as Jean. If Kylie gives 48 pens to Jean, both will then have an equal number of pens. Find the average number of pens the three of them have.

Erika	Kylie	Jean
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Kylie	Jean	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 Kylie and Jean have
= 52 u + 40 u
= 92 u

After Kylie gives to Jean, both of them will have the same number of pens. 

The total number of pens that Kylie and Jean have remains unchanged.

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

Number of pens that Kylie gives to Jean
= 52 u - 46 u
= 6 u

6 u = 48

1 u = 48 ÷ 6 = 8

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 8
= 280

Answer(s): 280