Tina and Rachel have some scones each. If Tina gives Rachel 37 scones, Tina will have ³₄ as many scones as Rachel. If Tina gives Rachel 7 scones, they will have an equal number of scones. How many scones does Rachel have at first?

	Case 1		Case 2
	Tina	Rachel	Tina	Rachel
Before	3 u + 37	4 u - 37	3.5 u + 7	3.5 u - 7
Change	- 37	+ 37	- 7	+ 7
After	3 u	4 u	3.5 u	3.5 u

Total number of scones that Tina and Rachel have
= 3 u + 4 u
= 7 u 

Number of scones that Tina and Rachel each has in the end is the same.

Number of scones that Tina and Rachel each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u

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

3.5 u + 7 = 3 u + 37
3.5 u - 3 u = 37 - 7
0.5 u = 30

1 u = 30 ÷ 0.5 = 60

Number of scones that Rachel has
= 4 u - 37
= 4 x 60 - 37
= 240 - 37
= 203

Answer(s): 203