Penelope has 25% as many marbles as Jaslyn. Jaslyn has 130% as many marbles as Emma. If Jaslyn gives 24 marbles to Emma, both will then have an equal number of marbles. Find the average number of marbles the three of them have.

Penelope	Jaslyn	Emma
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Jaslyn	Emma	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of marbles that Jaslyn and Emma have
= 52 u + 40 u
= 92 u

After Jaslyn gives to Emma, both of them will have the same number of marbles. 

The total number of marbles that Jaslyn and Emma have remains unchanged.

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

Number of marbles that Jaslyn gives to Emma
= 52 u - 46 u
= 6 u

6 u = 24

1 u = 24 ÷ 6 = 4

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

Average number of marbles that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 4
= 140

Answer(s): 140