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

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

9 u = 54

1 u = 54 ÷ 9 = 6

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

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

Answer(s): 12