Nora and Usha have some shortbreads each. If Nora gives Usha 28 shortbreads, Nora will have ⁷₈ as many shortbreads as Usha. If Nora gives Usha 19 shortbreads, they will have an equal number of shortbreads. How many shortbreads does Nora have at first?

	Case 1		Case 2
	Nora	Usha	Nora	Usha
Before	7 u + 28	8 u - 28	7.5 u + 19	7.5 u - 19
Change	- 28	+ 28	- 19	+ 19
After	7 u	8 u	7.5 u	7.5 u

Total number of shortbreads that Nora and Usha have
= 7 u + 8 u
= 15 u 

Number of shortbreads that Nora and Usha each has in the end is the same.

Number of shortbreads that Nora and Usha each has in the end in Case 2
= 15 u ÷ 2
= 7.5 u

Number of shortbreads that Nora had at first is the same in Case 1 and Case 2.

7.5 u + 19 = 7 u + 28
7.5 u - 7 u = 28 - 19
0.5 u = 9

1 u = 9 ÷ 0.5 = 18

Number of shortbreads that Nora has
= 7 u + 28
= 7 x 18 + 28
= 126 + 28
= 154

Answer(s): 154