Question

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

Answer 1

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.