Shannon and Dana collected erasers. Shannon gave 60% of her erasers to Dana and as a result, Dana's erasers increased by 20%. If Shannon had 8 erasers left, find the number of erasers Dana should give to Shannon in the end so that both had an equal number of erasers.

	Shannon	Dana	Comparing the change in Dana's erasers
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 erasers that Dana had is repeated.  Make the increase in the number of erasers that Dana had the same. LCM of 3 and 1 = 3

2 u = 8

1 u = 8 ÷ 2 = 4

Number of erasers that Dana had more than Shannon in the end
= 18 u - 2 u
= 16 u

Number of erasers that Dana should give to Shannon so that both had an equal number of erasers in the end
= 16 u ÷ 2
= 8 u
= 8 x 4
= 32

Answer(s): 32