Nicole and Zara collected buttons. Nicole gave 60% of her buttons to Zara and as a result, Zara's buttons increased by 20%. If Nicole had 14 buttons left, find the number of buttons Zara should give to Nicole in the end so that both had an equal number of buttons.

	Nicole	Zara	Comparing the change in Zara's buttons
Before	5x1 = 5 u		5x3 = 15u
Change	- 3x1 = - 3 u	+ 3x1 = + 3 u	+ 1x3 = + 3 u
After	2x1 = 2 u		6x3 = 18 u

60% = ⁶⁰₁₀₀ = ³₅
20% = ²⁰₁₀₀ = ¹₅

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

2 u = 14

1 u = 14 ÷ 2 = 7

Number of buttons that Zara had more than Nicole in the end
= 18 u - 2 u
= 16 u

Number of buttons that Zara should give to Nicole so that both had an equal number of buttons in the end
= 16 u ÷ 2
= 8 u
= 8 x 7
= 56

Answer(s): 56