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

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

2 u = 14

1 u = 14 ÷ 2 = 7

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

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

Answer(s): 56