Sabrina and Nicole collected erasers. Sabrina gave 50% of her erasers to Nicole and as a result, Nicole's erasers increased by 30%. If Sabrina had 27 erasers left, find the number of erasers Nicole should give to Sabrina in the end so that both had an equal number of erasers.

	Sabrina	Nicole	Comparing the change in Nicole's erasers
Before	2x3 = 6 u		10x1 = 10u
Change	- 1x3 = - 3 u	+ 1x3 = + 3 u	+ 3x1 = + 3 u
After	1x3 = 3 u		13x1 = 13 u

50% = ⁵⁰₁₀₀ = ¹₂
30% = ³⁰₁₀₀ = ³₁₀

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

3 u = 27

1 u = 27 ÷ 3 = 9

Number of erasers that Nicole had more than Sabrina in the end
= 13 u - 3 u
= 10 u

Number of erasers that Nicole should give to Sabrina so that both had an equal number of erasers in the end
= 10 u ÷ 2
= 5 u
= 5 x 9
= 45

Answer(s): 45