The percentage of the boys at the book fair is 6%
<h3>What is a percentage?</h3>
Percentages are used in mathematics as a decimal ratio expressed in a fraction of 100. It is represented with a symbol known as %.
At a book fair, the ratio of adults to children are:
7 : 3
The total number of people at the book fair = 7 + 3 = 10
The percentage of adults are:
![\mathbf{=\dfrac{7}{10}\times 100\%}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%5Cdfrac%7B7%7D%7B10%7D%5Ctimes%20100%5C%25%7D)
= 70% are adults
The percentage of children are:
![\mathbf{=\dfrac{3}{10}\times 100\%}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%5Cdfrac%7B3%7D%7B10%7D%5Ctimes%20100%5C%25%7D)
= 30% are children
However, if from the children, 4 are girls and 1 is a boy.
The total number of children at the fair = 4 + 1 = 5
The percentage of girls are:
![\mathbf{=\dfrac{4}{5} \times 30\%}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%5Cdfrac%7B4%7D%7B5%7D%20%5Ctimes%2030%5C%25%7D)
= 24%
The percentage of boys at the book fair is:
![\mathbf{=\dfrac{1}{5} \times 30\%}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%5Cdfrac%7B1%7D%7B5%7D%20%5Ctimes%2030%5C%25%7D)
= 6%
Learn more about percentages here:
brainly.com/question/24304697