The algebraic expression for the number of boys at the beginning of the concert in terms of p is n = 0.3p + 14
Solution:
Let the number of boys at the starting of the concert be “n”
And when 14 boys leave the concert, the remaining number of boys are (n-14)
According to question, the number of girls are represented by “p”
Also after 14 boys leave a concert, the ratio of boys to girls is 3 : 10
So we can frame a expression as follows:
[tex]\begin{array}{l}{(n-14): p=3: 10} \\\\ {\frac{n-14}{p}=\frac{3}{10}} \\\\ {n-14=\frac{3 p}{10}} \\\\ {n-14=0.3 p} \\\\ {n=0.3 p+14}\end{array}[/tex]
The above equation n = 0.3p + 14 represents the number of boys at the beginning of the concert in terms of p
