Rachel has 25% as many stamps as Lucy. Lucy has 130% as many stamps as Zara. If Lucy gives 48 stamps to Zara, both will then have an equal number of stamps. Find the average number of stamps the three of them have.

Rachel	Lucy	Zara
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Lucy	Zara	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of stamps that Lucy and Zara have
= 52 u + 40 u
= 92 u

After Lucy gives to Zara, both of them will have the same number of stamps. 

The total number of stamps that Lucy and Zara have remains unchanged.

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

Number of stamps that Lucy gives to Zara
= 52 u - 46 u
= 6 u

6 u = 48

1 u = 48 ÷ 6 = 8

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

Average number of stamps that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 8
= 280

Answer(s): 280