Jaslyn and Olivia have some scones each. If Jaslyn gives Olivia 20 scones, Jaslyn will have ²₇ as many scones as Olivia. If Jaslyn gives Olivia 8 scones, they will have an equal number of scones. How many scones does Olivia have at first?

	Case 1		Case 2
	Jaslyn	Olivia	Jaslyn	Olivia
Before	2 u + 20	7 u - 20	4.5 u + 8	4.5 u - 8
Change	- 20	+ 20	- 8	+ 8
After	2 u	7 u	4.5 u	4.5 u

Total number of scones that Jaslyn and Olivia have
= 2 u + 7 u
= 9 u 

Number of scones that Jaslyn and Olivia each has in the end is the same.

Number of scones that Jaslyn and Olivia each has in the end in Case 2
= 9 u ÷ 2
= 4.5 u

Number of scones that Jaslyn had at first is the same in Case 1 and Case 2.

4.5 u + 8 = 2 u + 20
4.5 u - 2 u = 20 - 8
0.5 u = 12

1 u = 12 ÷ 0.5 = 24

Number of scones that Olivia has
= 7 u - 20
= 7 x 24 - 20
= 168 - 20
= 148

Answer(s): 148