at a concert 2/3 of the audience were women.1/5 of them were men. the rest were children. if there were 48 more women than children,how many people were there

Total of audience = x
women = 2/3 of audience .................. a = 2/3 x
men      = 1/5 of audience ...................b = 1/5 x
children  = the rest  ............................ c  = x - (a+b)

women = children + 48 ........................a = c + 48

a + b = 2/3 x + 1/5 x
         = 10x / 15 + 3x / 15
         = 13x / 15

c = x - (a+b)
   = x - 13x/15
   = 15x/15 - 13x/15
   = 2x/15

a = c + 48
2/3 x = 2x/15 + 48
2x/3 - 2x/15 = 48
10x/15 - 2x/15 = 48
8x / 15 = 48
x = 15 x 48 / 8
   = 90

So, total of audience are 48

totalnya adalah 48
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