Hazel and Rachel collected cards. Hazel gave 60% of her cards to Rachel and as a result, Rachel's cards increased by 20%. If Hazel had 12 cards left, find the number of cards Rachel should give to Hazel in the end so that both had an equal number of cards.

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

2 u = 12

1 u = 12 ÷ 2 = 6

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

Number of cards that Rachel should give to Hazel so that both had an equal number of cards in the end
= 16 u ÷ 2
= 8 u
= 8 x 6
= 48

Answer(s): 48