Question

a garden has only red, green and white flowers. 60% of the flowers have red colours, 30% have green colour and 50% have white colour. if no flowers has all the three colours, what % of the flowers have only one colour?

Answer 1

Answer

let n(X) be the total no. of flowers in the garden = x.

n(X)= n(RUGUW)= n(R)+n(G)+n(W)-n(two color flowers) + n(three color flower)

x= 0.6x+0.3x+0.5x-n(two color flowers)+ 0

n(two color flowers)=0.4x

n(only R)+n(only G)+n(only W)= n(R) + n(G) +n(W) - 2(two color flowers) )+ 3(three color flowers).

= 0.6x + 0.3x + 0.5x -2(0.4x) + 3*0

=1.4x- 0.8x = 0.6x.

Hence, %(only one color flowers)= 60%