Emma and Natalie have some shortbreads each. If Emma gives Natalie 28 shortbreads, Emma will have ⁵₈ as many shortbreads as Natalie. If Emma gives Natalie 4 shortbreads, they will have an equal number of shortbreads. How many shortbreads does Natalie have at first?

	Case 1		Case 2
	Emma	Natalie	Emma	Natalie
Before	5 u + 28	8 u - 28	6.5 u + 4	6.5 u - 4
Change	- 28	+ 28	- 4	+ 4
After	5 u	8 u	6.5 u	6.5 u

Total number of shortbreads that Emma and Natalie have
= 5 u + 8 u
= 13 u 

Number of shortbreads that Emma and Natalie each has in the end is the same.

Number of shortbreads that Emma and Natalie each has in the end in Case 2
= 13 u ÷ 2
= 6.5 u

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

6.5 u + 4 = 5 u + 28
6.5 u - 5 u = 28 - 4
0.5 u = 24

1 u = 24 ÷ 0.5 = 48

Number of shortbreads that Natalie has
= 8 u - 28
= 8 x 48 - 28
= 384 - 28
= 356

Answer(s): 356