Pamela and Gillian collected cards. Pamela gave 60% of her cards to Gillian and as a result, Gillian's cards increased by 20%. If Pamela had 10 cards left, find the number of cards Gillian should give to Pamela in the end so that both had an equal number of cards.

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

2 u = 10

1 u = 10 ÷ 2 = 5

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

Number of cards that Gillian should give to Pamela so that both had an equal number of cards in the end
= 16 u ÷ 2
= 8 u
= 8 x 5
= 40

Answer(s): 40