At the tourist attraction were some adults. ¹₂ of the number of tourists was equal to 2 times the number of locals. When another 11 locals entered and 46 tourists left, the ratio of the number of tourists to the number of locals become 5 : 2. Find the number of tourists at the tourist attraction at first.

	Make p the same (1)x2 = (3)	Tourists (1)	Locals (2)	Make p the same (2)x5 = (4)
Before	8 u	4 u	1 u	5 u
Change	- 92	- 46	+ 11	+ 55
After	10 p	5 p	2 p	10 p

12 of the tourists = 2 times of the locals 
1x22x2 of the tourists = 2x11x1 of the locals 

Make the numerators the same.  LCM of 1 and 2 is 2.
²₄ of the tourists = ²₁ of the locals 

Tourists : Locals = 4 : 1

Make p the same.

(3) = (4)
8 u - 92 = 5 u + 55
8 u - 5 u = 55 + 92
3 u = 147

1 u = 147 ÷ 3 = 49

Number of tourists at the tourist attraction at first
= 4 u
= 4 x 49
= 196

Answer(s): 196