10% of the people are performers for a concert and the rest are spectators. 80% of the spectators are adults and there are 2700 more adult spectators than child spectators. How many adult spectators must leave so that 44% of the people are adult spectators?

	Performers	Spectators
	1x5	9x5
		Children	Adults
		1x9	4x9
Before	5 u	9 u	36 u
Change			- ?
After	14x1 = 14 u		11x1 =  11 u

10% = ¹⁰₁₀₀ = ¹₁₀ 

80% = ⁸⁰₁₀₀ = ⁴₅ 

44% = ⁴⁴₁₀₀ = ¹¹₂₅

The total number of spectators at first is repeated.  Make the total number of spectators the same.  LCM of 9 and 5 is 45.

Number of more adult spectators than child spectators at first
= 36 u - 9 u
= 27 u

27 u = 2700

1 u = 2700 ÷ 27 = 100

If some adult spectators leave, the total number of child spectators and performers remains unchanged.  

Number of adult spectators who must leave so that 44% of the people are adult spectators
= 36 u - 11 u
= 25 u
= 25 x 100
= 2500

Answer(s): 2500