at a concert 20% of the people are wearing black dresses or suits,1/4 are wearing navy, 0.35 are wearing brown ,and the rest are wearing a variety of colors.write the percent,fraction,and decimal for the rest of the other people that are wearing other colors

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09-01-2016
Mathematics

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at a concert 20% of the people are wearing black dresses or suits,1/4 are wearing navy, 0.35 are wearing brown ,and the rest are wearing a variety of colors.write the percent,fraction,and decimal for the rest of the other people that are wearing other colors

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taskmasters taskmasters · Answer 1 · 2016-01-09T19:20:02+01:00

Let us assume the total number of people at the concert = x
Then
Number of people wearing black dresses or suits = (20/100) * x
      = x/5
Number of people wearing navy = (1/4) * x
      = x/4
Number of people wearing brown = 0.35 * x
   = (35/100) * x
   = 7x/20
So
The number of people wearing a variety of colors = x - [(x/5) + (x/4) + (7x/20)]
      = x - [ (4x + 5x +7x)/20]
      = x - (16x/20)
   = x - (4x/5)
   = (5x - 4x)/5
   = x/5
So it can said from the above deduction that 1/5th of the total number of people were wearing variety of color dresses.