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

	Tina	Jean	Comparing the change in Jean's buttons
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 buttons that Jean had is repeated.  Make the increase in the number of buttons that Jean had the same. LCM of 1 and 3 = 3

3 u = 27

1 u = 27 ÷ 3 = 9

Number of buttons that Jean had more than Tina in the end
= 13 u - 3 u
= 10 u

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

Answer(s): 45