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

	Linda	Gillian	Comparing the change in Gillian'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 Gillian had is repeated.  Make the increase in the number of beads that Gillian had the same. LCM of 1 and 3 = 3

9 u = 45

1 u = 45 ÷ 9 = 5

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

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

Answer(s): 10