Let "x" be the total members the running club has
Given that,
6 teachers joined 5/7 of the members of the running club in an after-school run
Priya counted a total of 31 people running that day
Therefore,
[tex]6 + \frac{5}{7} \times x = 31\\\\6 + \frac{5x}{7} = 31\\\\42 + 5x = 31 \times 7\\\\42+5x = 217\\\\5x = 217-42\\\\5x = 175\\\\Divide\ both\ sides\ by\ 5\\\\x = 35[/tex]
Thus the running club has 35 members
