Question

Fifty people in a room are wearing clothes either in red orwhite or a combination of the two colors. Thirty are wearingonly red and 16 are wearing a combination of both red andwhite. How many are wearing clothes that have white in them?

Answer 1

We will solve the question using a Venn diagram

Let R represents people wearing clothes that have red

Let W represents people wearing clothes that have white

We have the Venn diagram as follow

So from the Venn diagram small letter w represent those wearing clothes that have only white. So we have that

`\begin{gathered} 30+16+w=50 \\ 46+w=50 \\ w=50-46 \\ w=4 \end{gathered}`

So those for "only" white is 4.

But those wearing clothes that have white in them will be only white plus those wearing combination of red and white. We have

`16+4=20`

Hence the answer is 20