Gillian and Natalie collected beads. Gillian gave 60% of her beads to Natalie and as a result, Natalie's beads increased by 20%. If Gillian had 20 beads left, find the number of beads Natalie should give to Gillian in the end so that both had an equal number of beads.

	Gillian	Natalie	Comparing the change in Natalie's beads
Before	5x1 = 5 u		5x3 = 15u
Change	- 3x1 = - 3 u	+ 3x1 = + 3 u	+ 1x3 = + 3 u
After	2x1 = 2 u		6x3 = 18 u

60% = ⁶⁰₁₀₀ = ³₅
20% = ²⁰₁₀₀ = ¹₅

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

2 u = 20

1 u = 20 ÷ 2 = 10

Number of beads that Natalie had more than Gillian in the end
= 18 u - 2 u
= 16 u

Number of beads that Natalie should give to Gillian so that both had an equal number of beads in the end
= 16 u ÷ 2
= 8 u
= 8 x 10
= 80

Answer(s): 80