Pamela and Olivia collected postcards. Pamela gave 60% of her postcards to Olivia and as a result, Olivia's postcards increased by 20%. If Pamela had 22 postcards left, find the number of postcards Olivia should give to Pamela in the end so that both had an equal number of postcards.

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

2 u = 22

1 u = 22 ÷ 2 = 11

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

Number of postcards that Olivia should give to Pamela so that both had an equal number of postcards in the end
= 16 u ÷ 2
= 8 u
= 8 x 11
= 88

Answer(s): 88