Natalie and Jade collected erasers. Natalie gave 25% of her erasers to Jade and as a result, Jade's erasers increased by 30%. If Natalie had 54 erasers left, find the number of erasers Jade should give to Natalie in the end so that both had an equal number of erasers.

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

9 u = 54

1 u = 54 ÷ 9 = 6

Number of erasers that Jade had more than Natalie in the end
= 13 u - 9 u
= 4 u

Number of erasers that Jade should give to Natalie so that both had an equal number of erasers in the end
= 4 u ÷ 2
= 2 u
= 2 x 6
= 12

Answer(s): 12