Kylie and Nicole collected buttons. Kylie gave 25% of her buttons to Nicole and as a result, Nicole's buttons increased by 30%. If Kylie had 63 buttons left, find the number of buttons Nicole should give to Kylie in the end so that both had an equal number of buttons.

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

9 u = 63

1 u = 63 ÷ 9 = 7

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

Number of buttons that Nicole should give to Kylie so that both had an equal number of buttons in the end
= 4 u ÷ 2
= 2 u
= 2 x 7
= 14

Answer(s): 14