Wendy and Xylia collected stamps. Wendy gave 30% of her stamps to Xylia and as a result, Xylia's stamps increased by 10%. If Wendy had 56 stamps left, find the number of stamps Xylia should give to Wendy in the end so that both had an equal number of stamps.

	Wendy	Xylia	Comparing the change in Xylia's stamps
Before	10x1 = 10 u		10x3 = 30u
Change	- 3x1 = - 3 u	+ 3x1 = + 3 u	+ 1x3 = + 3 u
After	7x1 = 7 u		11x3 = 33 u

30% = ³⁰₁₀₀ = ³₁₀
10% = ¹⁰₁₀₀ = ¹₁₀

The increase in the number of stamps that Xylia had is repeated.  Make the increase in the number of stamps that Xylia had the same. LCM of 3 and 1 = 3

7 u = 56

1 u = 56 ÷ 7 = 8

Number of stamps that Xylia had more than Wendy in the end
= 33 u - 7 u
= 26 u

Number of stamps that Xylia should give to Wendy so that both had an equal number of stamps in the end
= 26 u ÷ 2
= 13 u
= 13 x 8
= 104

Answer(s): 104