Victoria and Natalie collected erasers. Victoria gave 60% of her erasers to Natalie and as a result, Natalie's erasers increased by 20%. If Victoria had 14 erasers left, find the number of erasers Natalie should give to Victoria in the end so that both had an equal number of erasers.

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

2 u = 14

1 u = 14 ÷ 2 = 7

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

Number of erasers that Natalie should give to Victoria so that both had an equal number of erasers in the end
= 16 u ÷ 2
= 8 u
= 8 x 7
= 56

Answer(s): 56