Question

6Green7227915BlueA study of a population of 102parrakeets revealed that 4 outof every 12 parakeets in thepopulation are blue.12.Red5613TA15Orange361618Yellow1821Green2432Based on the results of thisstudy, how many parakeets inthe population are NOT blue?E24BlueMi

Answer 1

Given that we have a total population of 102, 4 out of every 12 are blue

This implies that the fraction of blue parakeets from 4 out of 12 is

`N_(blue)=(4)/(12)=(1)/(3)`

Therefore, the number of blue parakeets from the population will be

`(1)/(3)*102=\text{ 34}`

We have 34 blue parakeets are blue

Therefore the number of parakeets that are not blue would be

`\begin{gathered} \text{Total parak}eets-Number\text{ of Blue parak}eets \\ =102-34=68 \end{gathered}`

Hence, the number of parakeets in the population that are not blue is 68