Penelope and Yoko collected beads. Penelope gave 25% of her beads to Yoko and as a result, Yoko's beads increased by 30%. If Penelope had 45 beads left, find the number of beads Yoko should give to Penelope in the end so that both had an equal number of beads.

	Penelope	Yoko	Comparing the change in Yoko's beads
Before	4x3 = 12 u		10x1 = 10u
Change	- 1x3 = - 3 u	+ 1x3 = + 3 u	+ 3x1 = + 3 u
After	3x3 = 9 u		13x1 = 13 u

25% = ²⁵₁₀₀ = ¹₄
30% = ³⁰₁₀₀ = ³₁₀

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

9 u = 45

1 u = 45 ÷ 9 = 5

Number of beads that Yoko had more than Penelope in the end
= 13 u - 9 u
= 4 u

Number of beads that Yoko should give to Penelope so that both had an equal number of beads in the end
= 4 u ÷ 2
= 2 u
= 2 x 5
= 10

Answer(s): 10